2024123904 has 560 divisors, whose sum is σ = 7245540720. Its totient is φ = 557383680.

The previous prime is 2024123873. The next prime is 2024123911. The reversal of 2024123904 is 4093214202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69797362 + ... + 69797390.

Almost surely, 2^2024123904 is an apocalyptic number.

2024123904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622770360).

2024123904 is an abundant number, since it is smaller than the sum of its proper divisors (5221416816).

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

2024123904 is an equidigital number, since it uses as much as digits as its factorization.

2024123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2024123904 is about 44990.2645468995. The cubic root of 2024123904 is about 1264.9665202802.

The spelling of 2024123904 in words is "two billion, twenty-four million, one hundred twenty-three thousand, nine hundred four".