2552939385120 has 192 divisors, whose sum is σ = 9176782688640. Its totient is φ = 662384231424.

The previous prime is 2552939385103. The next prime is 2552939385137. The reversal of 2552939385120 is 215839392552.

2552939385120 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 93 + 9 + 38 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2552939385103) and next prime (2552939385137).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7826082 + ... + 8145761.

It is an arithmetic number, because the mean of its divisors is an integer number (47795743170).

Almost surely, 2^{2552939385120} is an apocalyptic number.

2552939385120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552939385120 is an abundant number, since it is smaller than the sum of its proper divisors (6623843303520).

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

2552939385120 is a wasteful number, since it uses less digits than its factorization.

2552939385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971904 (or 15971890 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 2552939385120 in words is "two trillion, five hundred fifty-two billion, nine hundred thirty-nine million, three hundred eighty-five thousand, one hundred twenty".