2237682564 has 96 divisors (see below), whose sum is σ = 6279840000. Its totient is φ = 684972288.

The previous prime is 2237682553. The next prime is 2237682569. The reversal of 2237682564 is 4652867322.

2237682564 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 6 + 82 + 564 = 666.

It is a super-2 number, since 2×2237682564² = 10014446514459228192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2237682569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275392 + ... + 283400.

It is an arithmetic number, because the mean of its divisors is an integer number (65415000).

Almost surely, 2^2237682564 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 2237682564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139920000).

2237682564 is an abundant number, since it is smaller than the sum of its proper divisors (4042157436).

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

2237682564 is a wasteful number, since it uses less digits than its factorization.

2237682564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8226 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2237682564 is about 47304.1495431426. The cubic root of 2237682564 is about 1307.9751489260.

The spelling of 2237682564 in words is "two billion, two hundred thirty-seven million, six hundred eighty-two thousand, five hundred sixty-four".