2137264 has 30 divisors (see below), whose sum is σ = 4309620. Its totient is φ = 1026720.

The previous prime is 2137259. The next prime is 2137273. The reversal of 2137264 is 4627312.

2137264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15307 + ... + 15445.

It is an arithmetic number, because the mean of its divisors is an integer number (143654).

2^2137264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154810).

2137264 is an abundant number, since it is smaller than the sum of its proper divisors (2172356).

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

2137264 is a wasteful number, since it uses less digits than its factorization.

2137264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 2137264 is about 1461.9384391964. The cubic root of 2137264 is about 128.8109322922.

It can be divided in two parts, 2137 and 264, that added together give a 4-th power (2401 = 7⁴).

The spelling of 2137264 in words is "two million, one hundred thirty-seven thousand, two hundred sixty-four".