2552731776 has 192 divisors, whose sum is σ = 8837524800. Its totient is φ = 690923520.

The previous prime is 2552731771. The next prime is 2552731777. The reversal of 2552731776 is 6771372552.

2552731776 is a `hidden beast` number, since 25 + 527 + 31 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2552731776² = 13032879040400228352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2552731771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144886 + ... + 161546.

It is an arithmetic number, because the mean of its divisors is an integer number (46028775).

Almost surely, 2^2552731776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418762400).

2552731776 is an abundant number, since it is smaller than the sum of its proper divisors (6284793024).

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

2552731776 is a wasteful number, since it uses less digits than its factorization.

2552731776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707 (or 16692 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 2552731776 is about 50524.5660644404. The cubic root of 2552731776 is about 1366.6848959959.

It can be divided in two parts, 255273 and 1776, that added together give a square (257049 = 507²).

The spelling of 2552731776 in words is "two billion, five hundred fifty-two million, seven hundred thirty-one thousand, seven hundred seventy-six".