2264664024 has 96 divisors (see below), whose sum is σ = 7128576000. Its totient is φ = 636071616.

The previous prime is 2264664023. The next prime is 2264664037. The reversal of 2264664024 is 4204664622.

2264664024 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 640 + 2 + 4 = 666.

2264664024 is digitally balanced in base 2, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2264664024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264664023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8344 + ... + 67815.

It is an arithmetic number, because the mean of its divisors is an integer number (74256000).

Almost surely, 2^2264664024 is an apocalyptic number.

2264664024 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 2264664024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564288000).

2264664024 is an abundant number, since it is smaller than the sum of its proper divisors (4863911976).

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

2264664024 is a wasteful number, since it uses less digits than its factorization.

2264664024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76237 (or 76230 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2264664024 is about 47588.4862545553. The cubic root of 2264664024 is about 1313.2112472655.

The spelling of 2264664024 in words is "two billion, two hundred sixty-four million, six hundred sixty-four thousand, twenty-four".