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2540357822500 = 225412722512
BaseRepresentation
bin100100111101111001001…
…000000010100000100100
322222212002220102100220021
4210331321020002200210
5313110123100310000
65223005124244524
7351351302132461
oct44757110024044
98885086370807
102540357822500
1189a3a58446a3
12350408840744
13155729929294
148ad4d9c6668
1546131c2911a
hex24f79202824

2540357822500 has 135 divisors (see below), whose sum is σ = 5621738082807. Its totient is φ = 1004125500000.

The previous prime is 2540357822489. The next prime is 2540357822533. The reversal of 2540357822500 is 52287530452.

The square root of 2540357822500 is 1593850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 199164053284 + 2341193769216 = 446278^2 + 1530096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10120947375 + ... + 10120947625.

Almost surely, 22540357822500 is an apocalyptic number.

2540357822500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2540357822500 is the 1593850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540357822500

2540357822500 is an abundant number, since it is smaller than the sum of its proper divisors (3081380260307).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540357822500 is an frugal number, since it uses more digits than its factorization.

2540357822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The spelling of 2540357822500 in words is "two trillion, five hundred forty billion, three hundred fifty-seven million, eight hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 127 250 251 254 500 502 508 625 635 1004 1250 1255 1270 2500 2510 2540 3175 5020 6275 6350 12550 12700 15875 16129 25100 31375 31750 31877 32258 62750 63001 63500 63754 64516 79375 80645 125500 126002 127508 156875 158750 159385 161290 252004 313750 315005 317500 318770 322580 403225 627500 630010 637540 796925 806450 1260020 1575025 1593850 1612900 2016125 3150050 3187700 3984625 4032250 4048379 6300100 7875125 7969250 8001127 8064500 8096758 10080625 15750250 15938500 16002254 16193516 19923125 20161250 20241895 31500500 32004508 39375625 39846250 40005635 40322500 40483790 78751250 79692500 80011270 80967580 101209475 157502500 160022540 200028175 202418950 400056350 404837900 506047375 800112700 1000140875 1012094750 1016143129 2000281750 2024189500 2032286258 2530236875 4000563500 4064572516 5000704375 5060473750 5080715645 10001408750 10120947500 10161431290 20002817500 20322862580 25403578225 50807156450 101614312900 127017891125 254035782250 508071564500 635089455625 1270178911250 2540357822500