2264470824 has 128 divisors (see below), whose sum is σ = 7163827200. Its totient is φ = 579363840.

The previous prime is 2264470807. The next prime is 2264470849. The reversal of 2264470824 is 4280744622.

It is a super-2 number, since 2×2264470824² = 10255656225494477952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114672 + ... + 132960.

It is an arithmetic number, because the mean of its divisors is an integer number (55967400).

Almost surely, 2^2264470824 is an apocalyptic number.

2264470824 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 2264470824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581913600).

2264470824 is an abundant number, since it is smaller than the sum of its proper divisors (4899356376).

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

2264470824 is a wasteful number, since it uses less digits than its factorization.

2264470824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383 (or 18379 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 2264470824 is about 47586.4563084918. The cubic root of 2264470824 is about 1313.1739025607.

The spelling of 2264470824 in words is "two billion, two hundred sixty-four million, four hundred seventy thousand, eight hundred twenty-four".