2402408000 has 56 divisors (see below), whose sum is σ = 5949583224. Its totient is φ = 960960000.

The previous prime is 2402407991. The next prime is 2402408033. The reversal of 2402408000 is 8042042.

It can be written as a sum of positive squares in 4 ways, for example, as 276091456 + 2126316544 = 16616^2 + 46112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142151 + ... + 158150.

Almost surely, 2^2402408000 is an apocalyptic number.

2402408000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402408000 is an abundant number, since it is smaller than the sum of its proper divisors (3547175224).

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

2402408000 is an equidigital number, since it uses as much as digits as its factorization.

2402408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300328 (or 300308 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2402408000 is about 49014.3652412229. The cubic root of 2402408000 is about 1339.3135267536.

The spelling of 2402408000 in words is "two billion, four hundred two million, four hundred eight thousand".