2681977008 has 80 divisors (see below), whose sum is σ = 7317031680. Its totient is φ = 844791552.

The previous prime is 2681976989. The next prime is 2681977013. The reversal of 2681977008 is 8007791862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76998 + ... + 106266.

It is an arithmetic number, because the mean of its divisors is an integer number (91462896).

Almost surely, 2^2681977008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681977008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658515840).

2681977008 is an abundant number, since it is smaller than the sum of its proper divisors (4635054672).

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

2681977008 is a wasteful number, since it uses less digits than its factorization.

2681977008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29386 (or 29380 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 2681977008 is about 51787.8075226206. The cubic root of 2681977008 is about 1389.3713852709.

The spelling of 2681977008 in words is "two billion, six hundred eighty-one million, nine hundred seventy-seven thousand, eight".