2551173890304 has 576 divisors, whose sum is σ = 7843512821760. Its totient is φ = 729615237120.

The previous prime is 2551173890299. The next prime is 2551173890339. The reversal of 2551173890304 is 4030983711552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4134803404 + ... + 4134804020.

It is an arithmetic number, because the mean of its divisors is an integer number (13617209760).

Almost surely, 2^{2551173890304} is an apocalyptic number.

2551173890304 is a gapful number since it is divisible by the number (24) 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 2551173890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921756410880).

2551173890304 is an abundant number, since it is smaller than the sum of its proper divisors (5292338931456).

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

2551173890304 is a wasteful number, since it uses less digits than its factorization.

2551173890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 2551173890304 in words is "two trillion, five hundred fifty-one billion, one hundred seventy-three million, eight hundred ninety thousand, three hundred four".