2400160 has 48 divisors (see below), whose sum is σ = 6483456. Its totient is φ = 822528.

The previous prime is 2400157. The next prime is 2400161. The reversal of 2400160 is 610042.

It is a self number, because there is not a number n which added to its sum of digits gives 2400160.

It is not an unprimeable number, because it can be changed into a prime (2400161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 2191.

It is an arithmetic number, because the mean of its divisors is an integer number (135072).

2^2400160 is an apocalyptic number.

2400160 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 2400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241728).

2400160 is an abundant number, since it is smaller than the sum of its proper divisors (4083296).

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

2400160 is a wasteful number, since it uses less digits than its factorization.

2400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2400160 is about 1549.2449774003. The cubic root of 2400160 is about 133.8895652079.

The spelling of 2400160 in words is "two million, four hundred thousand, one hundred sixty".