2560032155520 has 1024 divisors, whose sum is σ = 10762896384000. Its totient is φ = 562678824960.

The previous prime is 2560032155497. The next prime is 2560032155531. The reversal of 2560032155520 is 255512300652.

2560032155520 is a `hidden beast` number, since 2 + 5 + 60 + 0 + 3 + 21 + 55 + 520 = 666.

It is a super-3 number, since 3×2560032155520³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 950623294 + ... + 950625986.

It is an arithmetic number, because the mean of its divisors is an integer number (10510641000).

Almost surely, 2^{2560032155520} is an apocalyptic number.

2560032155520 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 2560032155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381448192000).

2560032155520 is an abundant number, since it is smaller than the sum of its proper divisors (8202864228480).

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

2560032155520 is a wasteful number, since it uses less digits than its factorization.

2560032155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2560032155520 in words is "two trillion, five hundred sixty billion, thirty-two million, one hundred fifty-five thousand, five hundred twenty".