2150971200 has 420 divisors, whose sum is σ = 9039729952. Its totient is φ = 491443200.

The previous prime is 2150971169. The next prime is 2150971211. The reversal of 2150971200 is 21790512.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906015 + ... + 908385.

Almost surely, 2^2150971200 is an apocalyptic number.

2150971200 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 2150971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519864976).

2150971200 is an abundant number, since it is smaller than the sum of its proper divisors (6888758752).

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

2150971200 is a wasteful number, since it uses less digits than its factorization.

2150971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2150971200 is about 46378.5640139925. The cubic root of 2150971200 is about 1290.8571912313.

The spelling of 2150971200 in words is "two billion, one hundred fifty million, nine hundred seventy-one thousand, two hundred".