2764864224 has 288 divisors, whose sum is σ = 8904639744. Its totient is φ = 808980480.

The previous prime is 2764864217. The next prime is 2764864237. The reversal of 2764864224 is 4224684672.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2764864224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4841859 + ... + 4842429.

It is an arithmetic number, because the mean of its divisors is an integer number (30918888).

Almost surely, 2^2764864224 is an apocalyptic number.

2764864224 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 2764864224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452319872).

2764864224 is an abundant number, since it is smaller than the sum of its proper divisors (6139775520).

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

2764864224 is a wasteful number, since it uses less digits than its factorization.

2764864224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 2764864224 is about 52581.9762276010. The cubic root of 2764864224 is about 1403.5393818573.

The spelling of 2764864224 in words is "two billion, seven hundred sixty-four million, eight hundred sixty-four thousand, two hundred twenty-four".