2552946278400 has 2160 divisors, whose sum is σ = 11358499676160. Its totient is φ = 535088332800.

The previous prime is 2552946278387. The next prime is 2552946278401. The reversal of 2552946278400 is 48726492552.

2552946278400 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 9 + 4 + 627 + 8 + 4 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2552946278401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20101939137 + ... + 20101939263.

Almost surely, 2^{2552946278400} is an apocalyptic number.

2552946278400 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 2552946278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679249838080).

2552946278400 is an abundant number, since it is smaller than the sum of its proper divisors (8805553397760).

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

2552946278400 is a wasteful number, since it uses less digits than its factorization.

2552946278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2552946278400 in words is "two trillion, five hundred fifty-two billion, nine hundred forty-six million, two hundred seventy-eight thousand, four hundred".