2152785600 has 756 divisors, whose sum is σ = 9312075864. Its totient is φ = 487710720.

The previous prime is 2152785589. The next prime is 2152785601. The reversal of 2152785600 is 65872512.

It is a happy number.

2152785600 is a `hidden beast` number, since 21 + 5 + 2 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 (2152785601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19051144 + ... + 19051256.

Almost surely, 2^2152785600 is an apocalyptic number.

2152785600 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 2152785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656037932).

2152785600 is an abundant number, since it is smaller than the sum of its proper divisors (7159290264).

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

2152785600 is a wasteful number, since it uses less digits than its factorization.

2152785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2152785600 is about 46398.1206515954. The cubic root of 2152785600 is about 1291.2200463990.

The spelling of 2152785600 in words is "two billion, one hundred fifty-two million, seven hundred eighty-five thousand, six hundred".