2408000 has 112 divisors (see below), whose sum is σ = 6973824. Its totient is φ = 806400.

The previous prime is 2407963. The next prime is 2408009. The reversal of 2408000 is 8042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2408009) 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, 55979 + ... + 56021.

2^2408000 is an apocalyptic number.

2408000 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 2408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486912).

2408000 is an abundant number, since it is smaller than the sum of its proper divisors (4565824).

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

2408000 is an equidigital number, since it uses as much as digits as its factorization.

2408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2408000 is about 1551.7731793017. The cubic root of 2408000 is about 134.0351879076.

The spelling of 2408000 in words is "two million, four hundred eight thousand".