2160140400 has 900 divisors, whose sum is σ = 9279223800. Its totient is φ = 479001600.

The previous prime is 2160140383. The next prime is 2160140413. The reversal of 2160140400 is 40410612.

2160140400 is a `hidden beast` number, since 21 + 601 + 4 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 179 ways as a sum of consecutive naturals, for example, 74487586 + ... + 74487614.

Almost surely, 2^2160140400 is an apocalyptic number.

2160140400 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 2160140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639611900).

2160140400 is an abundant number, since it is smaller than the sum of its proper divisors (7119083400).

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

2160140400 is a wasteful number, since it uses less digits than its factorization.

2160140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

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

The square root of 2160140400 is about 46477.3105934498. The cubic root of 2160140400 is about 1292.6888210633.

It can be divided in two parts, 21601 and 40400, that added together give a square (62001 = 249²).

The spelling of 2160140400 in words is "two billion, one hundred sixty million, one hundred forty thousand, four hundred".