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2750248920 = 2335232713677
BaseRepresentation
bin1010001111101101…
…0111011111011000
321002200002010021010
42203323113133120
521113030431140
61132523213520
7125103505266
oct24373273730
97080063233
102750248920
1111914977a1
126490772a0
1334aa2b233
141c1393436
151116ad880
hexa3ed77d8

2750248920 has 128 divisors (see below), whose sum is σ = 8643594240. Its totient is φ = 698734080.

The previous prime is 2750248909. The next prime is 2750248931. The reversal of 2750248920 is 298420572.

It is an interprime number because it is at equal distance from previous prime (2750248909) and next prime (2750248931).

It is a super-2 number, since 2×27502489202 = 15127738243922332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746122 + ... + 749798.

It is an arithmetic number, because the mean of its divisors is an integer number (67528080).

Almost surely, 22750248920 is an apocalyptic number.

2750248920 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 2750248920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321797120).

2750248920 is an abundant number, since it is smaller than the sum of its proper divisors (5893345320).

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

2750248920 is a wasteful number, since it uses less digits than its factorization.

2750248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2750248920 is about 52442.8157138802. The cubic root of 2750248920 is about 1401.0619357875.

The spelling of 2750248920 in words is "two billion, seven hundred fifty million, two hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 271 276 345 460 542 552 690 813 920 1084 1355 1380 1626 2168 2710 2760 3252 3677 4065 5420 6233 6504 7354 8130 10840 11031 12466 14708 16260 18385 18699 22062 24932 29416 31165 32520 36770 37398 44124 49864 55155 62330 73540 74796 84571 88248 93495 110310 124660 147080 149592 169142 186990 220620 249320 253713 338284 373980 422855 441240 507426 676568 747960 845710 996467 1014852 1268565 1691420 1992934 2029704 2537130 2989401 3382840 3985868 4982335 5074260 5978802 7971736 9964670 10148520 11957604 14947005 19929340 22918741 23915208 29894010 39858680 45837482 59788020 68756223 91674964 114593705 119576040 137512446 183349928 229187410 275024892 343781115 458374820 550049784 687562230 916749640 1375124460 2750248920