2552715209520 has 2560 divisors, whose sum is σ = 11487569510400. Its totient is φ = 507915878400.

The previous prime is 2552715209509. The next prime is 2552715209543. The reversal of 2552715209520 is 259025172552.

2552715209520 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 71 + 52 + 0 + 9 + 520 = 666.

2552715209520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20100119697 + ... + 20100119823.

It is an arithmetic number, because the mean of its divisors is an integer number (4487331840).

Almost surely, 2^{2552715209520} is an apocalyptic number.

2552715209520 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 2552715209520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743784755200).

2552715209520 is an abundant number, since it is smaller than the sum of its proper divisors (8934854300880).

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

2552715209520 is a wasteful number, since it uses less digits than its factorization.

2552715209520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 2552715209520 in words is "two trillion, five hundred fifty-two billion, seven hundred fifteen million, two hundred nine thousand, five hundred twenty".