2151152640 has 1056 divisors, whose sum is σ = 10014251520. Its totient is φ = 429981696.

The previous prime is 2151152609. The next prime is 2151152683. The reversal of 2151152640 is 462511512.

2151152640 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 15 + 2 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218551 + ... + 113218569.

Almost surely, 2^2151152640 is an apocalyptic number.

2151152640 is a gapful number since it is divisible by the number (20) 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 2151152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007125760).

2151152640 is an abundant number, since it is smaller than the sum of its proper divisors (7863098880).

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

2151152640 is a wasteful number, since it uses less digits than its factorization.

2151152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2151152640 is about 46380.5200488308. The cubic root of 2151152640 is about 1290.8934859282.

The spelling of 2151152640 in words is "two billion, one hundred fifty-one million, one hundred fifty-two thousand, six hundred forty".