2792200320 has 576 divisors, whose sum is σ = 12094631640. Its totient is φ = 588349440.

The previous prime is 2792200289. The next prime is 2792200321. The reversal of 2792200320 is 230022972.

It can be written as a sum of positive squares in 4 ways, for example, as 749883456 + 2042316864 = 27384^2 + 45192^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2792200321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668740 + ... + 3669500.

Almost surely, 2^2792200320 is an apocalyptic number.

2792200320 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 2792200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047315820).

2792200320 is an abundant number, since it is smaller than the sum of its proper divisors (9302431320).

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

2792200320 is a wasteful number, since it uses less digits than its factorization.

2792200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2792200320 is about 52841.2747764472. The cubic root of 2792200320 is about 1408.1497989726.

The spelling of 2792200320 in words is "two billion, seven hundred ninety-two million, two hundred thousand, three hundred twenty".