2107632672 has 72 divisors (see below), whose sum is σ = 5999011200. Its totient is φ = 701907840.

The previous prime is 2107632661. The next prime is 2107632679. The reversal of 2107632672 is 2762367012.

It is a happy number.

2107632672 is a `hidden beast` number, since 2 + 10 + 7 + 632 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2107632679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400297 + ... + 405527.

It is an arithmetic number, because the mean of its divisors is an integer number (83319600).

Almost surely, 2^2107632672 is an apocalyptic number.

It is an amenable number.

2107632672 is an abundant number, since it is smaller than the sum of its proper divisors (3891378528).

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

2107632672 is a wasteful number, since it uses less digits than its factorization.

2107632672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2107632672 is about 45908.9606939647. The cubic root of 2107632672 is about 1282.1287559006.

Adding to 2107632672 its reverse (2762367012), we get a palindrome (4869999684).

It can be divided in two parts, 2107632 and 672, that added together give a square (2108304 = 1452²).

The spelling of 2107632672 in words is "two billion, one hundred seven million, six hundred thirty-two thousand, six hundred seventy-two".