2024381904 has 80 divisors (see below), whose sum is σ = 5512296000. Its totient is φ = 638419968.

The previous prime is 2024381881. The next prime is 2024381911. The reversal of 2024381904 is 4091834202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306122 + ... + 1307670.

It is an arithmetic number, because the mean of its divisors is an integer number (68903700).

Almost surely, 2^2024381904 is an apocalyptic number.

2024381904 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 2024381904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756148000).

2024381904 is an abundant number, since it is smaller than the sum of its proper divisors (3487914096).

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

2024381904 is a wasteful number, since it uses less digits than its factorization.

2024381904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2024381904 is about 44993.1317425227. The cubic root of 2024381904 is about 1265.0202632842.

The spelling of 2024381904 in words is "two billion, twenty-four million, three hundred eighty-one thousand, nine hundred four".