2400413032100 has 36 divisors (see below), whose sum is σ = 5208964394004. Its totient is φ = 960152657280.

The previous prime is 2400413032021. The next prime is 2400413032117. The reversal of 2400413032100 is 12303140042.

It can be written as a sum of positive squares in 6 ways, for example, as 33670782016 + 2366742250084 = 183496^2 + 1538422^2 .

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 11 ways as a sum of consecutive naturals, for example, 13098302 + ... + 13280298.

It is an arithmetic number, because the mean of its divisors is an integer number (144693455389).

Almost surely, 2^{2400413032100} is an apocalyptic number.

2400413032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400413032100 is an abundant number, since it is smaller than the sum of its proper divisors (2808551361904).

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

2400413032100 is a wasteful number, since it uses less digits than its factorization.

2400413032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313904 (or 313897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2400413032100 its reverse (12303140042), we get a palindrome (2412716172142).

The spelling of 2400413032100 in words is "two trillion, four hundred billion, four hundred thirteen million, thirty-two thousand, one hundred".