2800264320 has 384 divisors, whose sum is σ = 11138400000. Its totient is φ = 635019264.

The previous prime is 2800264319. The next prime is 2800264367. The reversal of 2800264320 is 234620082.

2800264320 is a `hidden beast` number, since 2 + 80 + 0 + 264 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 8023506 + ... + 8023854.

It is an arithmetic number, because the mean of its divisors is an integer number (29006250).

Almost surely, 2^2800264320 is an apocalyptic number.

2800264320 is a gapful number since it is divisible by the number (20) 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 2800264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200000).

2800264320 is an abundant number, since it is smaller than the sum of its proper divisors (8338135680).

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

2800264320 is a wasteful number, since it uses less digits than its factorization.

2800264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2800264320 is about 52917.5237515891. The cubic root of 2800264320 is about 1409.5040960175.

The spelling of 2800264320 in words is "two billion, eight hundred million, two hundred sixty-four thousand, three hundred twenty".