2024216460 has 288 divisors, whose sum is σ = 7401481920. Its totient is φ = 457906176.

The previous prime is 2024216353. The next prime is 2024216479. The reversal of 2024216460 is 646124202.

2024216460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 2989642 + ... + 2990318.

It is an arithmetic number, because the mean of its divisors is an integer number (25699590).

Almost surely, 2^2024216460 is an apocalyptic number.

2024216460 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 2024216460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700740960).

2024216460 is an abundant number, since it is smaller than the sum of its proper divisors (5377265460).

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

2024216460 is a wasteful number, since it uses less digits than its factorization.

2024216460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2024216460 is about 44991.2931576766. The cubic root of 2024216460 is about 1264.9858007957.

The spelling of 2024216460 in words is "two billion, twenty-four million, two hundred sixteen thousand, four hundred sixty".