2820578160 has 80 divisors (see below), whose sum is σ = 8794463904. Its totient is φ = 747795456.

The previous prime is 2820578143. The next prime is 2820578209. The reversal of 2820578160 is 618750282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2820578160² = 15911322313337971200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7554 + ... + 75486.

Almost surely, 2^2820578160 is an apocalyptic number.

2820578160 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 2820578160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397231952).

2820578160 is an abundant number, since it is smaller than the sum of its proper divisors (5973885744).

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

2820578160 is a wasteful number, since it uses less digits than its factorization.

2820578160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68122 (or 68116 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2820578160 is about 53109.1156017496. The cubic root of 2820578160 is about 1412.9041896521.

The spelling of 2820578160 in words is "two billion, eight hundred twenty million, five hundred seventy-eight thousand, one hundred sixty".