2024394900 has 288 divisors, whose sum is σ = 6824563200. Its totient is φ = 458150400.

The previous prime is 2024394899. The next prime is 2024394913. The reversal of 2024394900 is 94934202.

It is a super-2 number, since 2×2024394900² = 8196349422292020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5203906 + ... + 5204294.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^2024394900 is an apocalyptic number.

2024394900 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 2024394900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

2024394900 is an abundant number, since it is smaller than the sum of its proper divisors (4800168300).

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

2024394900 is a wasteful number, since it uses less digits than its factorization.

2024394900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2024394900 is about 44993.2761643337. The cubic root of 2024394900 is about 1265.0229703110.

The spelling of 2024394900 in words is "two billion, twenty-four million, three hundred ninety-four thousand, nine hundred".