2132637264 has 120 divisors (see below), whose sum is σ = 6193175040. Its totient is φ = 684262656.

The previous prime is 2132637253. The next prime is 2132637341. The reversal of 2132637264 is 4627362312.

2132637264 is a `hidden beast` number, since 2 + 13 + 2 + 637 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932937 + ... + 1934039.

It is an arithmetic number, because the mean of its divisors is an integer number (51609792).

Almost surely, 2^2132637264 is an apocalyptic number.

2132637264 is a gapful number since it is divisible by the number (24) 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 2132637264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096587520).

2132637264 is an abundant number, since it is smaller than the sum of its proper divisors (4060537776).

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

2132637264 is a wasteful number, since it uses less digits than its factorization.

2132637264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1600 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2132637264 is about 46180.4857488528. The cubic root of 2132637264 is about 1287.1791543371.

Adding to 2132637264 its reverse (4627362312), we get a palindrome (6759999576).

The spelling of 2132637264 in words is "two billion, one hundred thirty-two million, six hundred thirty-seven thousand, two hundred sixty-four".