2505290508288 has 960 divisors, whose sum is σ = 8116921612800. Its totient is φ = 768074711040.

The previous prime is 2505290508277. The next prime is 2505290508289. The reversal of 2505290508288 is 8828050925052.

2505290508288 is a `hidden beast` number, since 2 + 5 + 0 + 52 + 9 + 0 + 508 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2505290508289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15957264306 + ... + 15957264462.

It is an arithmetic number, because the mean of its divisors is an integer number (8455126680).

Almost surely, 2^{2505290508288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505290508288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058460806400).

2505290508288 is an abundant number, since it is smaller than the sum of its proper divisors (5611631104512).

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

2505290508288 is a wasteful number, since it uses less digits than its factorization.

2505290508288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 2505290508288 in words is "two trillion, five hundred five billion, two hundred ninety million, five hundred eight thousand, two hundred eighty-eight".