2552804580960 has 576 divisors, whose sum is σ = 9638805496320. Its totient is φ = 612355645440.

The previous prime is 2552804580889. The next prime is 2552804580961. The reversal of 2552804580960 is 690854082552.

2552804580960 is a `hidden beast` number, since 2 + 5 + 52 + 8 + 0 + 4 + 580 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×2552804580960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2552804580897 and 2552804580906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552804580961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86196555 + ... + 86226165.

It is an arithmetic number, because the mean of its divisors is an integer number (16734037320).

Almost surely, 2^{2552804580960} is an apocalyptic number.

2552804580960 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 2552804580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819402748160).

2552804580960 is an abundant number, since it is smaller than the sum of its proper divisors (7086000915360).

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

2552804580960 is a wasteful number, since it uses less digits than its factorization.

2552804580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29811 (or 29800 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 2552804580960 in words is "two trillion, five hundred fifty-two billion, eight hundred four million, five hundred eighty thousand, nine hundred sixty".