2428596172800 has 4320 divisors, whose sum is σ = 11977382617200. Its totient is φ = 481579499520.

The previous prime is 2428596172771. The next prime is 2428596172811. The reversal of 2428596172800 is 82716958242.

2428596172800 is a `hidden beast` number, since 2 + 4 + 28 + 596 + 1 + 7 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 65637734382 + ... + 65637734418.

Almost surely, 2^{2428596172800} is an apocalyptic number.

2428596172800 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 2428596172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988691308600).

2428596172800 is an abundant number, since it is smaller than the sum of its proper divisors (9548786444400).

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

2428596172800 is a wasteful number, since it uses less digits than its factorization.

2428596172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2428596172800 in words is "two trillion, four hundred twenty-eight billion, five hundred ninety-six million, one hundred seventy-two thousand, eight hundred".