2681034752 has 144 divisors (see below), whose sum is σ = 6099912000. Its totient is φ = 1175961600.

The previous prime is 2681034739. The next prime is 2681034761. The reversal of 2681034752 is 2574301862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7681874 + ... + 7682222.

It is an arithmetic number, because the mean of its divisors is an integer number (42360500).

Almost surely, 2^2681034752 is an apocalyptic number.

2681034752 is a gapful number since it is divisible by the number (22) 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 2681034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049956000).

2681034752 is an abundant number, since it is smaller than the sum of its proper divisors (3418877248).

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

2681034752 is a wasteful number, since it uses less digits than its factorization.

2681034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 2681034752 is about 51778.7094470304. The cubic root of 2681034752 is about 1389.2086574445.

The spelling of 2681034752 in words is "two billion, six hundred eighty-one million, thirty-four thousand, seven hundred fifty-two".