2401200400 has 30 divisors (see below), whose sum is σ = 5768884922. Its totient is φ = 960480000.

The previous prime is 2401200353. The next prime is 2401200407. The reversal of 2401200400 is 40021042.

It can be written as a sum of positive squares in 3 ways, for example, as 304293136 + 2096907264 = 17444^2 + 45792^2 .

It is not an unprimeable number, because it can be changed into a prime (2401200407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3001101 + ... + 3001900.

Almost surely, 2^2401200400 is an apocalyptic number.

2401200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401200400 is an abundant number, since it is smaller than the sum of its proper divisors (3367684522).

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

2401200400 is a wasteful number, since it uses less digits than its factorization.

2401200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003019 (or 6003008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2401200400 is about 49002.0448552915. The cubic root of 2401200400 is about 1339.0890816573.

Adding to 2401200400 its reverse (40021042), we get a palindrome (2441221442).

The spelling of 2401200400 in words is "two billion, four hundred one million, two hundred thousand, four hundred".