2681072784 has 150 divisors (see below), whose sum is σ = 8403312786. Its totient is φ = 824878080.

The previous prime is 2681072761. The next prime is 2681072803. The reversal of 2681072784 is 4872701862.

It can be written as a sum of positive squares in 3 ways, for example, as 41990400 + 2639082384 = 6480^2 + 51372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 212904 + ... + 225144.

Almost surely, 2^2681072784 is an apocalyptic number.

2681072784 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 2681072784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201656393).

2681072784 is an abundant number, since it is smaller than the sum of its proper divisors (5722240002).

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

2681072784 is a wasteful number, since it uses less digits than its factorization.

2681072784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2681072784 is about 51779.0767009224. The cubic root of 2681072784 is about 1389.2152263179.

The spelling of 2681072784 in words is "two billion, six hundred eighty-one million, seventy-two thousand, seven hundred eighty-four".