2552191048008 has 576 divisors, whose sum is σ = 8563067136000. Its totient is φ = 682770622464.

The previous prime is 2552191048007. The next prime is 2552191048013. The reversal of 2552191048008 is 8008401912552.

2552191048008 is a `hidden beast` number, since 2 + 552 + 1 + 9 + 10 + 4 + 80 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2552191048003) 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, 3481842810 + ... + 3481843542.

It is an arithmetic number, because the mean of its divisors is an integer number (14866436000).

Almost surely, 2^{2552191048008} is an apocalyptic number.

2552191048008 is a gapful number since it is divisible by the number (28) 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 2552191048008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281533568000).

2552191048008 is an abundant number, since it is smaller than the sum of its proper divisors (6010876087992).

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

2552191048008 is a wasteful number, since it uses less digits than its factorization.

2552191048008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 2552191048008 in words is "two trillion, five hundred fifty-two billion, one hundred ninety-one million, forty-eight thousand, eight".