2150952000 has 448 divisors, whose sum is σ = 7702905600. Its totient is φ = 527155200.

The previous prime is 2150951993. The next prime is 2150952059. The reversal of 2150952000 is 2590512.

2150952000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24167956 + ... + 24168044.

Almost surely, 2^2150952000 is an apocalyptic number.

2150952000 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 2150952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851452800).

2150952000 is an abundant number, since it is smaller than the sum of its proper divisors (5551953600).

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

2150952000 is a wasteful number, since it uses less digits than its factorization.

2150952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2150952000 is about 46378.3570213521. The cubic root of 2150952000 is about 1290.8533504032.

The spelling of 2150952000 in words is "two billion, one hundred fifty million, nine hundred fifty-two thousand".