2552790815520 has 384 divisors, whose sum is σ = 8816953275648. Its totient is φ = 615717273600.

The previous prime is 2552790815473. The next prime is 2552790815521. The reversal of 2552790815520 is 255180972552.

It is not an unprimeable number, because it can be changed into a prime (2552790815521) 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, 1362941304 + ... + 1362943176.

It is an arithmetic number, because the mean of its divisors is an integer number (22960815822).

Almost surely, 2^{2552790815520} is an apocalyptic number.

2552790815520 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 2552790815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408476637824).

2552790815520 is an abundant number, since it is smaller than the sum of its proper divisors (6264162460128).

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

2552790815520 is a wasteful number, since it uses less digits than its factorization.

2552790815520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 51.

It can be divided in two parts, 2552790 and 815520, that added together give a triangular number (3368310 = T₂₅₉₅).

The spelling of 2552790815520 in words is "two trillion, five hundred fifty-two billion, seven hundred ninety million, eight hundred fifteen thousand, five hundred twenty".