2506655292960 has 1152 divisors, whose sum is σ = 10162154225664. Its totient is φ = 507995504640.

The previous prime is 2506655292923. The next prime is 2506655292961. The reversal of 2506655292960 is 692925566052.

It is a self number, because there is not a number n which added to its sum of digits gives 2506655292960.

It is not an unprimeable number, because it can be changed into a prime (2506655292961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2763676827 + ... + 2763677733.

It is an arithmetic number, because the mean of its divisors is an integer number (8821314432).

Almost surely, 2^{2506655292960} is an apocalyptic number.

2506655292960 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 2506655292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081077112832).

2506655292960 is an abundant number, since it is smaller than the sum of its proper divisors (7655498932704).

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

2506655292960 is a wasteful number, since it uses less digits than its factorization.

2506655292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 57.

The spelling of 2506655292960 in words is "two trillion, five hundred six billion, six hundred fifty-five million, two hundred ninety-two thousand, nine hundred sixty".