2024386920 has 288 divisors, whose sum is σ = 7148367720. Its totient is φ = 496419840.

The previous prime is 2024386919. The next prime is 2024386943. The reversal of 2024386920 is 296834202.

It can be written as a sum of positive squares in 4 ways, for example, as 1389649284 + 634737636 = 37278^2 + 25194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4808310 + ... + 4808730.

Almost surely, 2^2024386920 is an apocalyptic number.

2024386920 is a gapful number since it is divisible by the number (20) 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 2024386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574183860).

2024386920 is an abundant number, since it is smaller than the sum of its proper divisors (5123980800).

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

2024386920 is a wasteful number, since it uses less digits than its factorization.

2024386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2024386920 is about 44993.1874843292. The cubic root of 2024386920 is about 1265.0213081029.

The spelling of 2024386920 in words is "two billion, twenty-four million, three hundred eighty-six thousand, nine hundred twenty".