2792465280 has 640 divisors, whose sum is σ = 11196662400. Its totient is φ = 657469440.

The previous prime is 2792465231. The next prime is 2792465293. The reversal of 2792465280 is 825642972.

2792465280 is a `hidden beast` number, since 27 + 92 + 465 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 33644119 + ... + 33644201.

It is an arithmetic number, because the mean of its divisors is an integer number (17494785).

Almost surely, 2^2792465280 is an apocalyptic number.

2792465280 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 2792465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598331200).

2792465280 is an abundant number, since it is smaller than the sum of its proper divisors (8404197120).

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

2792465280 is a wasteful number, since it uses less digits than its factorization.

2792465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2792465280 is about 52843.7818480093. The cubic root of 2792465280 is about 1408.1943387055.

The spelling of 2792465280 in words is "two billion, seven hundred ninety-two million, four hundred sixty-five thousand, two hundred eighty".