2264017824 has 192 divisors, whose sum is σ = 6812467200. Its totient is φ = 731130624.

The previous prime is 2264017813. The next prime is 2264017841. The reversal of 2264017824 is 4287104622.

2264017824 is a `hidden beast` number, since 2 + 2 + 640 + 1 + 7 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5156997 + ... + 5157435.

It is an arithmetic number, because the mean of its divisors is an integer number (35481600).

Almost surely, 2^2264017824 is an apocalyptic number.

2264017824 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 2264017824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406233600).

2264017824 is an abundant number, since it is smaller than the sum of its proper divisors (4548449376).

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

2264017824 is a wasteful number, since it uses less digits than its factorization.

2264017824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2264017824 is about 47581.6963127630. The cubic root of 2264017824 is about 1313.0863313361.

The spelling of 2264017824 in words is "two billion, two hundred sixty-four million, seventeen thousand, eight hundred twenty-four".