2152992200 has 108 divisors (see below), whose sum is σ = 5345175465. Its totient is φ = 806338560.

The previous prime is 2152992197. The next prime is 2152992227. The reversal of 2152992200 is 22992512.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 29441476 + 2123550724 = 5426^2 + 46082^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11155304 + ... + 11155496.

Almost surely, 2^2152992200 is an apocalyptic number.

2152992200 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 2152992200

2152992200 is an abundant number, since it is smaller than the sum of its proper divisors (3192183265).

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

2152992200 is a wasteful number, since it uses less digits than its factorization.

2152992200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 2152992200 is about 46400.3469814612. The cubic root of 2152992200 is about 1291.2613506404.

Multiplying 2152992200 by its sum of digits (32), we get a square (68895750400 = 262480²).

The spelling of 2152992200 in words is "two billion, one hundred fifty-two million, nine hundred ninety-two thousand, two hundred".