2682761472 has 180 divisors, whose sum is σ = 8123109456. Its totient is φ = 880450560.

The previous prime is 2682761467. The next prime is 2682761489. The reversal of 2682761472 is 2741672862.

It is a happy number.

2682761472 is a `hidden beast` number, since 2 + 6 + 8 + 27 + 614 + 7 + 2 = 666.

2682761472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1388347 + ... + 1390277.

Almost surely, 2^2682761472 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 2682761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061554728).

2682761472 is an abundant number, since it is smaller than the sum of its proper divisors (5440347984).

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

2682761472 is an equidigital number, since it uses as much as digits as its factorization.

2682761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2003 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2682761472 is about 51795.3807979051. The cubic root of 2682761472 is about 1389.5068333109.

The spelling of 2682761472 in words is "two billion, six hundred eighty-two million, seven hundred sixty-one thousand, four hundred seventy-two".