2151893520 has 320 divisors, whose sum is σ = 8746106880. Its totient is φ = 475891200.

The previous prime is 2151893477. The next prime is 2151893521. The reversal of 2151893520 is 253981512.

2151893520 is a `hidden beast` number, since 2 + 1 + 51 + 89 + 3 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2151893521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466425 + ... + 471015.

It is an arithmetic number, because the mean of its divisors is an integer number (27331584).

Almost surely, 2^2151893520 is an apocalyptic number.

2151893520 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 2151893520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373053440).

2151893520 is an abundant number, since it is smaller than the sum of its proper divisors (6594213360).

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

2151893520 is a wasteful number, since it uses less digits than its factorization.

2151893520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2151893520 is about 46388.5063350826. The cubic root of 2151893520 is about 1291.0416680968.

The spelling of 2151893520 in words is "two billion, one hundred fifty-one million, eight hundred ninety-three thousand, five hundred twenty".