2400005040 has 80 divisors (see below), whose sum is σ = 7516789728. Its totient is φ = 633397248.

The previous prime is 2400005033. The next prime is 2400005051. The reversal of 2400005040 is 405000042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

2400005040 is a modest number, since divided by 5040 gives 2400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28267 + ... + 74826.

Almost surely, 2^2400005040 is an apocalyptic number.

2400005040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400005040 is an abundant number, since it is smaller than the sum of its proper divisors (5116784688).

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

2400005040 is a wasteful number, since it uses less digits than its factorization.

2400005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103206 (or 103200 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2400005040 is about 48989.8462949212. The cubic root of 2400005040 is about 1338.8668373698.

Adding to 2400005040 its reverse (405000042), we get a palindrome (2805005082).

The spelling of 2400005040 in words is "two billion, four hundred million, five thousand, forty".