2137764951 has 24 divisors (see below), whose sum is σ = 3541777824. Its totient is φ = 1217160000.

The previous prime is 2137764883. The next prime is 2137764997. The reversal of 2137764951 is 1594677312.

It is not a de Polignac number, because 2137764951 - 2⁹ = 2137764439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2137764897 and 2137764906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137764151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43800 + ... + 78701.

It is an arithmetic number, because the mean of its divisors is an integer number (147574076).

Almost surely, 2^2137764951 is an apocalyptic number.

2137764951 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2137764951 is a deficient number, since it is larger than the sum of its proper divisors (1404012873).

2137764951 is a wasteful number, since it uses less digits than its factorization.

2137764951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122791 (or 122788 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 2137764951 is about 46235.9703153292. The cubic root of 2137764951 is about 1288.2099545779.

The spelling of 2137764951 in words is "two billion, one hundred thirty-seven million, seven hundred sixty-four thousand, nine hundred fifty-one".