2136564 has 48 divisors (see below), whose sum is σ = 5635840. Its totient is φ = 699840.

The previous prime is 2136559. The next prime is 2136583. The reversal of 2136564 is 4656312.

2136564 is a `hidden beast` number, since 2 + 1 + 3 + 656 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7749 + ... + 8019.

2^2136564 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 2136564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817920).

2136564 is an abundant number, since it is smaller than the sum of its proper divisors (3499276).

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

2136564 is a wasteful number, since it uses less digits than its factorization.

2136564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2136564 is about 1461.6990114247. The cubic root of 2136564 is about 128.7968679716.

It can be divided in two parts, 21 and 36564, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 2136564 in words is "two million, one hundred thirty-six thousand, five hundred sixty-four".