2557711632 has 80 divisors (see below), whose sum is σ = 7578876032. Its totient is φ = 728110080.

The previous prime is 2557711627. The next prime is 2557711633. The reversal of 2557711632 is 2361177552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2557711633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79332 + ... + 106812.

Almost surely, 2^2557711632 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 2557711632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789438016).

2557711632 is an abundant number, since it is smaller than the sum of its proper divisors (5021164400).

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

2557711632 is a wasteful number, since it uses less digits than its factorization.

2557711632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27776 (or 27770 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 2557711632 is about 50573.8235849337. The cubic root of 2557711632 is about 1367.5730260113.

It can be divided in two parts, 255771 and 1632, that added together give a triangular number (257403 = T₇₁₇).

The spelling of 2557711632 in words is "two billion, five hundred fifty-seven million, seven hundred eleven thousand, six hundred thirty-two".