2431402400 has 72 divisors (see below), whose sum is σ = 6783628320. Its totient is φ = 833621760.

The previous prime is 2431402357. The next prime is 2431402411. The reversal of 2431402400 is 42041342.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211490 + ... + 222689.

It is an arithmetic number, because the mean of its divisors is an integer number (94217060).

Almost surely, 2^2431402400 is an apocalyptic number.

2431402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431402400 is an abundant number, since it is smaller than the sum of its proper divisors (4352225920).

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

2431402400 is a wasteful number, since it uses less digits than its factorization.

2431402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434206 (or 434193 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2431402400 is about 49309.2526814187. The cubic root of 2431402400 is about 1344.6800047652.

Adding to 2431402400 its reverse (42041342), we get a palindrome (2473443742).

The spelling of 2431402400 in words is "two billion, four hundred thirty-one million, four hundred two thousand, four hundred".