2400244401920 has 72 divisors (see below), whose sum is σ = 5759847767184. Its totient is φ = 958342275072.

The previous prime is 2400244401859. The next prime is 2400244401943. The reversal of 2400244401920 is 291044420042.

It is a super-2 number, since 2×2400244401920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013909 + ... + 2414228.

Almost surely, 2^{2400244401920} is an apocalyptic number.

2400244401920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400244401920 is an abundant number, since it is smaller than the sum of its proper divisors (3359603365264).

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

2400244401920 is an equidigital number, since it uses as much as digits as its factorization.

2400244401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428705 (or 3428691 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 2400244401920 its reverse (291044420042), we get a palindrome (2691288821962).

The spelling of 2400244401920 in words is "two trillion, four hundred billion, two hundred forty-four million, four hundred one thousand, nine hundred twenty".