2820407296 has 152 divisors (see below), whose sum is σ = 6794759520. Its totient is φ = 1145044992.

The previous prime is 2820407273. The next prime is 2820407309. The reversal of 2820407296 is 6927040282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53215206 + ... + 53215258.

Almost surely, 2^2820407296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397379760).

2820407296 is an abundant number, since it is smaller than the sum of its proper divisors (3974352224).

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

2820407296 is an frugal number, since it uses more digits than its factorization.

2820407296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2820407296 is about 53107.5069646467. The cubic root of 2820407296 is about 1412.8756589369.

The spelling of 2820407296 in words is "two billion, eight hundred twenty million, four hundred seven thousand, two hundred ninety-six".