2137664 has 28 divisors (see below), whose sum is σ = 4291584. Its totient is φ = 1056384.

The previous prime is 2137637. The next prime is 2137669. The reversal of 2137664 is 4667312.

2137664 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (2137669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7997 + ... + 8259.

2^2137664 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 2137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145792).

2137664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2137664 is a wasteful number, since it uses less digits than its factorization.

2137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 2137664 is about 1462.0752374621. The cubic root of 2137664 is about 128.8189676681.

The spelling of 2137664 in words is "two million, one hundred thirty-seven thousand, six hundred sixty-four".