2161459200 has 180 divisors, whose sum is σ = 7151070080. Its totient is φ = 576061440.

The previous prime is 2161459193. The next prime is 2161459219. The reversal of 2161459200 is 29541612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1227921 + ... + 1229679.

Almost surely, 2^2161459200 is an apocalyptic number.

2161459200 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 2161459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575535040).

2161459200 is an abundant number, since it is smaller than the sum of its proper divisors (4989610880).

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

2161459200 is an equidigital number, since it uses as much as digits as its factorization.

2161459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2161459200 is about 46491.4959965798. The cubic root of 2161459200 is about 1292.9518365598.

The spelling of 2161459200 in words is "two billion, one hundred sixty-one million, four hundred fifty-nine thousand, two hundred".