2400032160 has 192 divisors, whose sum is σ = 8443128960. Its totient is φ = 636733440.

The previous prime is 2400032147. The next prime is 2400032161. The reversal of 2400032160 is 612300042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2400032161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910204 + ... + 912836.

It is an arithmetic number, because the mean of its divisors is an integer number (43974630).

Almost surely, 2^2400032160 is an apocalyptic number.

2400032160 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 2400032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221564480).

2400032160 is an abundant number, since it is smaller than the sum of its proper divisors (6043096800).

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

2400032160 is a wasteful number, since it uses less digits than its factorization.

2400032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2400032160 is about 48990.1230861895. The cubic root of 2400032160 is about 1338.8718804053.

The spelling of 2400032160 in words is "two billion, four hundred million, thirty-two thousand, one hundred sixty".