2157465600 has 234 divisors, whose sum is σ = 7730878766. Its totient is φ = 575078400.

The previous prime is 2157465577. The next prime is 2157465659. The reversal of 2157465600 is 65647512.

It is a happy number.

2157465600 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 46 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 224280576 + 1933185024 = 14976^2 + 43968^2 .

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 17 ways as a sum of consecutive naturals, for example, 920430 + ... + 922770.

Almost surely, 2^2157465600 is an apocalyptic number.

2157465600 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 2157465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865439383).

2157465600 is an abundant number, since it is smaller than the sum of its proper divisors (5573413166).

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

2157465600 is a wasteful number, since it uses less digits than its factorization.

2157465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2157465600 is about 46448.5263490673. The cubic root of 2157465600 is about 1292.1550421473.

The spelling of 2157465600 in words is "two billion, one hundred fifty-seven million, four hundred sixty-five thousand, six hundred".