2552274361728 has 1536 divisors, whose sum is σ = 10211356108800. Its totient is φ = 619624857600.

The previous prime is 2552274361687. The next prime is 2552274361739. The reversal of 2552274361728 is 8271634722552.

2552274361728 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 274 + 361 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×2552274361728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1758975403 + ... + 1758976853.

It is an arithmetic number, because the mean of its divisors is an integer number (6648018300).

Almost surely, 2^{2552274361728} is an apocalyptic number.

2552274361728 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 2552274361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105678054400).

2552274361728 is an abundant number, since it is smaller than the sum of its proper divisors (7659081747072).

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

2552274361728 is a wasteful number, since it uses less digits than its factorization.

2552274361728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1540 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 2552274361728 in words is "two trillion, five hundred fifty-two billion, two hundred seventy-four million, three hundred sixty-one thousand, seven hundred twenty-eight".