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2540065720 = 235233677523
BaseRepresentation
bin1001011101100110…
…0101001110111000
320120000120201010011
42113121211032320
520200224100340
61100014231304
7116642126263
oct22731451670
96500521104
102540065720
111093889a75
125aa7b5534
13316319b8a
141a14bdcda
15ecee20ea
hex976653b8

2540065720 has 64 divisors (see below), whose sum is σ = 5980677120. Its totient is φ = 969074304.

The previous prime is 2540065709. The next prime is 2540065721. The reversal of 2540065720 is 275600452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540065721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333879 + ... + 341401.

It is an arithmetic number, because the mean of its divisors is an integer number (93448080).

Almost surely, 22540065720 is an apocalyptic number.

2540065720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540065720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990338560).

2540065720 is an abundant number, since it is smaller than the sum of its proper divisors (3440611400).

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

2540065720 is a wasteful number, since it uses less digits than its factorization.

2540065720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 2540065720 is about 50399.0646738608. The cubic root of 2540065720 is about 1364.4207572410.

The spelling of 2540065720 in words is "two billion, five hundred forty million, sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 367 460 734 920 1468 1835 2936 3670 7340 7523 8441 14680 15046 16882 30092 33764 37615 42205 60184 67528 75230 84410 150460 168820 173029 300920 337640 346058 692116 865145 1384232 1730290 2760941 3460580 5521882 6921160 11043764 13804705 22087528 27609410 55218820 63501643 110437640 127003286 254006572 317508215 508013144 635016430 1270032860 2540065720