2157235200 has 264 divisors, whose sum is σ = 7924510160. Its totient is φ = 575078400.

The previous prime is 2157235183. The next prime is 2157235207. The reversal of 2157235200 is 25327512.

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

It is not an unprimeable number, because it can be changed into a prime (2157235207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689640 + ... + 692760.

Almost surely, 2^2157235200 is an apocalyptic number.

2157235200 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 2157235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962255080).

2157235200 is an abundant number, since it is smaller than the sum of its proper divisors (5767274960).

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

2157235200 is a wasteful number, since it uses less digits than its factorization.

2157235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2157235200 is about 46446.0461180497. The cubic root of 2157235200 is about 1292.1090432493.

The spelling of 2157235200 in words is "two billion, one hundred fifty-seven million, two hundred thirty-five thousand, two hundred".