2137681089 has 48 divisors (see below), whose sum is σ = 3372969600. Its totient is φ = 1299449088.

The previous prime is 2137681079. The next prime is 2137681103. The reversal of 2137681089 is 9801867312.

It is not a de Polignac number, because 2137681089 - 2⁵ = 2137681057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137681009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493949 + ... + 2494805.

It is an arithmetic number, because the mean of its divisors is an integer number (70270200).

Almost surely, 2^2137681089 is an apocalyptic number.

2137681089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2137681089 is a deficient number, since it is larger than the sum of its proper divisors (1235288511).

2137681089 is a wasteful number, since it uses less digits than its factorization.

2137681089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2137681089 is about 46235.0634151182. The cubic root of 2137681089 is about 1288.1931093715.

The spelling of 2137681089 in words is "two billion, one hundred thirty-seven million, six hundred eighty-one thousand, eighty-nine".