2137671720 has 48 divisors (see below), whose sum is σ = 6947434260. Its totient is φ = 570045696.

The previous prime is 2137671709. The next prime is 2137671761. The reversal of 2137671720 is 271767312.

It can be written as a sum of positive squares in 2 ways, for example, as 1838865924 + 298805796 = 42882^2 + 17286^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2968629 + ... + 2969348.

Almost surely, 2^2137671720 is an apocalyptic number.

2137671720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137671720 is an abundant number, since it is smaller than the sum of its proper divisors (4809762540).

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

2137671720 is a wasteful number, since it uses less digits than its factorization.

2137671720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937994 (or 5937987 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 2137671720 is about 46234.9620957993. The cubic root of 2137671720 is about 1288.1912274102.

It can be divided in two parts, 21376 and 71720, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 2137671720 in words is "two billion, one hundred thirty-seven million, six hundred seventy-one thousand, seven hundred twenty".