2264039424 has 160 divisors (see below), whose sum is σ = 6771993690. Its totient is φ = 753795072.

The previous prime is 2264039417. The next prime is 2264039441. The reversal of 2264039424 is 4249304622.

2264039424 is a `hidden beast` number, since 2 + 2 + 640 + 3 + 9 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2230861824 + 33177600 = 47232^2 + 5760^2 .

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 9 ways as a sum of consecutive naturals, for example, 2653782 + ... + 2654634.

Almost surely, 2^2264039424 is an apocalyptic number.

2264039424 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 2264039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385996845).

2264039424 is an abundant number, since it is smaller than the sum of its proper divisors (4507954266).

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

2264039424 is an frugal number, since it uses more digits than its factorization.

2264039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2264039424 is about 47581.9232902580. The cubic root of 2264039424 is about 1313.0905071829.

The spelling of 2264039424 in words is "two billion, two hundred sixty-four million, thirty-nine thousand, four hundred twenty-four".