2876791680 has 512 divisors, whose sum is σ = 12337920000. Its totient is φ = 618430464.

The previous prime is 2876791649. The next prime is 2876791711. The reversal of 2876791680 is 861976782.

It is an interprime number because it is at equal distance from previous prime (2876791649) and next prime (2876791711).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2055621 + ... + 2057019.

It is an arithmetic number, because the mean of its divisors is an integer number (24097500).

Almost surely, 2^2876791680 is an apocalyptic number.

2876791680 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 2876791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960000).

2876791680 is an abundant number, since it is smaller than the sum of its proper divisors (9461128320).

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

2876791680 is a wasteful number, since it uses less digits than its factorization.

2876791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2876791680 is about 53635.7313737773. The cubic root of 2876791680 is about 1422.2288082739.

The spelling of 2876791680 in words is "two billion, eight hundred seventy-six million, seven hundred ninety-one thousand, six hundred eighty".