2552138791800 has 384 divisors, whose sum is σ = 8813529231360. Its totient is φ = 606677299200.

The previous prime is 2552138791771. The next prime is 2552138791817. The reversal of 2552138791800 is 81978312552.

It is a super-2 number, since 2×2552138791800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117745764 + ... + 117767436.

It is an arithmetic number, because the mean of its divisors is an integer number (22951899040).

Almost surely, 2^{2552138791800} is an apocalyptic number.

2552138791800 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 2552138791800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406764615680).

2552138791800 is an abundant number, since it is smaller than the sum of its proper divisors (6261390439560).

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

2552138791800 is a wasteful number, since it uses less digits than its factorization.

2552138791800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22223 (or 22214 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 2552138791800 in words is "two trillion, five hundred fifty-two billion, one hundred thirty-eight million, seven hundred ninety-one thousand, eight hundred".