2552456046360 has 512 divisors, whose sum is σ = 8619851520000. Its totient is φ = 599419699200.

The previous prime is 2552456046281. The next prime is 2552456046379. The reversal of 2552456046360 is 636406542552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2387703906 + ... + 2387704974.

It is an arithmetic number, because the mean of its divisors is an integer number (16835647500).

Almost surely, 2^{2552456046360} is an apocalyptic number.

2552456046360 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 2552456046360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309925760000).

2552456046360 is an abundant number, since it is smaller than the sum of its proper divisors (6067395473640).

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

2552456046360 is a wasteful number, since it uses less digits than its factorization.

2552456046360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 2552456046360 in words is "two trillion, five hundred fifty-two billion, four hundred fifty-six million, forty-six thousand, three hundred sixty".