2552725117824 has 768 divisors, whose sum is σ = 8286399313920. Its totient is φ = 693608251392.

The previous prime is 2552725117819. The next prime is 2552725117871. The reversal of 2552725117824 is 4287115272552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955654089 + ... + 6955654455.

It is an arithmetic number, because the mean of its divisors is an integer number (10789582440).

Almost surely, 2^{2552725117824} is an apocalyptic number.

2552725117824 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 2552725117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143199656960).

2552725117824 is an abundant number, since it is smaller than the sum of its proper divisors (5733674196096).

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

2552725117824 is a wasteful number, since it uses less digits than its factorization.

2552725117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its digits is 3136000, while the sum is 51.

The spelling of 2552725117824 in words is "two trillion, five hundred fifty-two billion, seven hundred twenty-five million, one hundred seventeen thousand, eight hundred twenty-four".