2552933994624 has 512 divisors, whose sum is σ = 8436943872000. Its totient is φ = 754652712960.

The previous prime is 2552933994613. The next prime is 2552933994629. The reversal of 2552933994624 is 4264993392552.

It is a happy number.

2552933994624 is a `hidden beast` number, since 2 + 5 + 52 + 9 + 33 + 99 + 462 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2552933994629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193588159 + ... + 193601345.

It is an arithmetic number, because the mean of its divisors is an integer number (16478406000).

Almost surely, 2^{2552933994624} is an apocalyptic number.

2552933994624 is a gapful number since it is divisible by the number (24) 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 2552933994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218471936000).

2552933994624 is an abundant number, since it is smaller than the sum of its proper divisors (5884009877376).

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

2552933994624 is a wasteful number, since it uses less digits than its factorization.

2552933994624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13393 (or 13375 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 63.

The spelling of 2552933994624 in words is "two trillion, five hundred fifty-two billion, nine hundred thirty-three million, nine hundred ninety-four thousand, six hundred twenty-four".