2806513920 has 432 divisors, whose sum is σ = 11517367680. Its totient is φ = 640991232.

The previous prime is 2806513907. The next prime is 2806513949. The reversal of 2806513920 is 293156082.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2176636 + ... + 2177924.

Almost surely, 2^2806513920 is an apocalyptic number.

2806513920 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 2806513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758683840).

2806513920 is an abundant number, since it is smaller than the sum of its proper divisors (8710853760).

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

2806513920 is an equidigital number, since it uses as much as digits as its factorization.

2806513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2806513920 is about 52976.5412234510. The cubic root of 2806513920 is about 1410.5518889815.

The spelling of 2806513920 in words is "two billion, eight hundred six million, five hundred thirteen thousand, nine hundred twenty".