2820756960 has 960 divisors, whose sum is σ = 12645642240. Its totient is φ = 577290240.

The previous prime is 2820756947. The next prime is 2820756971. The reversal of 2820756960 is 696570282.

2820756960 is a `hidden beast` number, since 2 + 8 + 20 + 7 + 569 + 60 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47809411 + ... + 47809469.

It is an arithmetic number, because the mean of its divisors is an integer number (13172544).

Almost surely, 2^2820756960 is an apocalyptic number.

2820756960 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 2820756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322821120).

2820756960 is an abundant number, since it is smaller than the sum of its proper divisors (9824885280).

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

2820756960 is a wasteful number, since it uses less digits than its factorization.

2820756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2820756960 is about 53110.7989019182. The cubic root of 2820756960 is about 1412.9340442796.

The spelling of 2820756960 in words is "two billion, eight hundred twenty million, seven hundred fifty-six thousand, nine hundred sixty".