2681892864 has 312 divisors, whose sum is σ = 9336429440. Its totient is φ = 724598784.

The previous prime is 2681892847. The next prime is 2681892911. The reversal of 2681892864 is 4682981862.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2681892864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902639 + ... + 4903185.

Almost surely, 2^2681892864 is an apocalyptic number.

2681892864 is a gapful number since it is divisible by the number (24) 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 2681892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668214720).

2681892864 is an abundant number, since it is smaller than the sum of its proper divisors (6654536576).

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

2681892864 is a wasteful number, since it uses less digits than its factorization.

2681892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 578 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2681892864 is about 51786.9951242588. The cubic root of 2681892864 is about 1389.3568551329.

The spelling of 2681892864 in words is "two billion, six hundred eighty-one million, eight hundred ninety-two thousand, eight hundred sixty-four".