2807864320 has 88 divisors (see below), whose sum is σ = 6786443664. Its totient is φ = 1114669056.

The previous prime is 2807864317. The next prime is 2807864351. The reversal of 2807864320 is 234687082.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 699439 + ... + 703441.

It is an arithmetic number, because the mean of its divisors is an integer number (77118678).

It is a vampire number, since it can be written as 32024 ⋅ 87680 (with its own digits).

Almost surely, 2^2807864320 is an apocalyptic number.

2807864320 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 2807864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393221832).

2807864320 is an abundant number, since it is smaller than the sum of its proper divisors (3978579344).

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

2807864320 is a wasteful number, since it uses less digits than its factorization.

2807864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 2807864320 is about 52989.2849546019. The cubic root of 2807864320 is about 1410.7780893968.

The spelling of 2807864320 in words is "two billion, eight hundred seven million, eight hundred sixty-four thousand, three hundred twenty".