2161022400 has 504 divisors, whose sum is σ = 8175857664. Its totient is φ = 540518400.

The previous prime is 2161022389. The next prime is 2161022443. The reversal of 2161022400 is 42201612.

2161022400 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20980749 + ... + 20980851.

Almost surely, 2^2161022400 is an apocalyptic number.

2161022400 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 2161022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087928832).

2161022400 is an abundant number, since it is smaller than the sum of its proper divisors (6014835264).

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

2161022400 is a wasteful number, since it uses less digits than its factorization.

2161022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2161022400 is about 46486.7981259196. The cubic root of 2161022400 is about 1292.8647349990.

The spelling of 2161022400 in words is "two billion, one hundred sixty-one million, twenty-two thousand, four hundred".