2137782564 has 96 divisors (see below), whose sum is σ = 5841319680. Its totient is φ = 674784000.

The previous prime is 2137782557. The next prime is 2137782593. The reversal of 2137782564 is 4652877312.

2137782564 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 7 + 82 + 564 = 666.

It is a super-2 number, since 2×2137782564² = 9140228581884828192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246624 + ... + 255144.

It is an arithmetic number, because the mean of its divisors is an integer number (60847080).

Almost surely, 2^2137782564 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 2137782564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920659840).

2137782564 is an abundant number, since it is smaller than the sum of its proper divisors (3703537116).

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

2137782564 is a wasteful number, since it uses less digits than its factorization.

2137782564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8650 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2137782564 is about 46236.1607835253. The cubic root of 2137782564 is about 1288.2134924130.

The spelling of 2137782564 in words is "two billion, one hundred thirty-seven million, seven hundred eighty-two thousand, five hundred sixty-four".