2499005678400 has 4032 divisors, whose sum is σ = 12452460134400. Its totient is φ = 459841536000.

The previous prime is 2499005678399. The next prime is 2499005678473. The reversal of 2499005678400 is 48765009942.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22926657546 + ... + 22926657654.

Almost surely, 2^{2499005678400} is an apocalyptic number.

2499005678400 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 2499005678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226230067200).

2499005678400 is an abundant number, since it is smaller than the sum of its proper divisors (9953454456000).

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

2499005678400 is a wasteful number, since it uses less digits than its factorization.

2499005678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2499005678400 in words is "two trillion, four hundred ninety-nine billion, five million, six hundred seventy-eight thousand, four hundred".