2400092160 has 256 divisors, whose sum is σ = 8115854400. Its totient is φ = 603979776.

The previous prime is 2400092143. The next prime is 2400092161. The reversal of 2400092160 is 612900042.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×2400092160³ (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2400092160.

It is not an unprimeable number, because it can be changed into a prime (2400092161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9338752 + ... + 9339008.

Almost surely, 2^2400092160 is an apocalyptic number.

2400092160 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 2400092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057927200).

2400092160 is an abundant number, since it is smaller than the sum of its proper divisors (5715762240).

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

2400092160 is an equidigital number, since it uses as much as digits as its factorization.

2400092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2400092160 is about 48990.7354506952. The cubic root of 2400092160 is about 1338.8830374285.

The spelling of 2400092160 in words is "two billion, four hundred million, ninety-two thousand, one hundred sixty".