2151582264 has 336 divisors, whose sum is σ = 6840649800. Its totient is φ = 633215232.

The previous prime is 2151582253. The next prime is 2151582319. The reversal of 2151582264 is 4622851512.

2151582264 is a `hidden beast` number, since 2 + 1 + 51 + 582 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36467467 + ... + 36467525.

Almost surely, 2^2151582264 is an apocalyptic number.

2151582264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151582264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420324900).

2151582264 is an abundant number, since it is smaller than the sum of its proper divisors (4689067536).

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

2151582264 is a wasteful number, since it uses less digits than its factorization.

2151582264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2151582264 is about 46385.1513310025. The cubic root of 2151582264 is about 1290.9794184489.

The spelling of 2151582264 in words is "two billion, one hundred fifty-one million, five hundred eighty-two thousand, two hundred sixty-four".