2502906201600 has 720 divisors, whose sum is σ = 9949979120400. Its totient is φ = 552353464320.

The previous prime is 2502906201583. The next prime is 2502906201619. The reversal of 2502906201600 is 61026092052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54543466 + ... + 54589334.

It is an arithmetic number, because the mean of its divisors is an integer number (13819415445).

Almost surely, 2^{2502906201600} is an apocalyptic number.

2502906201600 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 2502906201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974989560200).

2502906201600 is an abundant number, since it is smaller than the sum of its proper divisors (7447072918800).

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

2502906201600 is a wasteful number, since it uses less digits than its factorization.

2502906201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45943 (or 45915 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 2502906201600 in words is "two trillion, five hundred two billion, nine hundred six million, two hundred one thousand, six hundred".