2681748864 has 128 divisors (see below), whose sum is σ = 7933519200. Its totient is φ = 891813888.

The previous prime is 2681748859. The next prime is 2681748877. The reversal of 2681748864 is 4688471862.

2681748864 is a `hidden beast` number, since 26 + 81 + 7 + 488 + 64 = 666.

2681748864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2681748864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325312 + ... + 2326464.

Almost surely, 2^2681748864 is an apocalyptic number.

2681748864 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 2681748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966759600).

2681748864 is an abundant number, since it is smaller than the sum of its proper divisors (5251770336).

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

2681748864 is a wasteful number, since it uses less digits than its factorization.

2681748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1831 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2681748864 is about 51785.6047951552. The cubic root of 2681748864 is about 1389.3319882474.

The spelling of 2681748864 in words is "two billion, six hundred eighty-one million, seven hundred forty-eight thousand, eight hundred sixty-four".