2552051576400 has 480 divisors, whose sum is σ = 8766734893056. Its totient is φ = 633454080000.

The previous prime is 2552051576383. The next prime is 2552051576443. The reversal of 2552051576400 is 46751502552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108277417 + ... + 108300983.

Almost surely, 2^{2552051576400} is an apocalyptic number.

2552051576400 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 2552051576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383367446528).

2552051576400 is an abundant number, since it is smaller than the sum of its proper divisors (6214683316656).

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

2552051576400 is a wasteful number, since it uses less digits than its factorization.

2552051576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23731 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 2552051576400 in words is "two trillion, five hundred fifty-two billion, fifty-one million, five hundred seventy-six thousand, four hundred".