2681875980 has 240 divisors, whose sum is σ = 9775166016. Its totient is φ = 602795520.

The previous prime is 2681875979. The next prime is 2681876017. The reversal of 2681875980 is 895781862.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 689802 + ... + 693678.

Almost surely, 2^2681875980 is an apocalyptic number.

2681875980 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 2681875980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887583008).

2681875980 is an abundant number, since it is smaller than the sum of its proper divisors (7093290036).

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

2681875980 is a wasteful number, since it uses less digits than its factorization.

2681875980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2681875980 is about 51786.8321101030. The cubic root of 2681875980 is about 1389.3539395366.

The spelling of 2681875980 in words is "two billion, six hundred eighty-one million, eight hundred seventy-five thousand, nine hundred eighty".