2137829768 has 8 divisors (see below), whose sum is σ = 4008430830. Its totient is φ = 1068914880.

The previous prime is 2137829723. The next prime is 2137829791. The reversal of 2137829768 is 8679287312.

It can be written as a sum of positive squares in only one way, i.e., 1103435524 + 1034394244 = 33218^2 + 32162^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×2137829768² = 9140632233893867648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 133614353 + ... + 133614368.

Almost surely, 2^2137829768 is an apocalyptic number.

It is an amenable number.

2137829768 is a deficient number, since it is larger than the sum of its proper divisors (1870601062).

2137829768 is a wasteful number, since it uses less digits than its factorization.

2137829768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267228727 (or 267228723 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 53.

The square root of 2137829768 is about 46236.6712469659. The cubic root of 2137829768 is about 1288.2229739483. Note that the first 3 decimals are identical.

The spelling of 2137829768 in words is "two billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, seven hundred sixty-eight".