2424298464 has 576 divisors, whose sum is σ = 9159897600. Its totient is φ = 609140736.

The previous prime is 2424298441. The next prime is 2424298477. The reversal of 2424298464 is 4648924242.

It is a nude number because it is divisible by every one of its digits.

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, 33209532 + ... + 33209604.

It is an arithmetic number, because the mean of its divisors is an integer number (15902600).

Almost surely, 2^2424298464 is an apocalyptic number.

2424298464 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 2424298464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579948800).

2424298464 is an abundant number, since it is smaller than the sum of its proper divisors (6735599136).

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

2424298464 is a wasteful number, since it uses less digits than its factorization.

2424298464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2424298464 is about 49237.1654748727. The cubic root of 2424298464 is about 1343.3691235545.

The spelling of 2424298464 in words is "two billion, four hundred twenty-four million, two hundred ninety-eight thousand, four hundred sixty-four".