2682694948032 has 336 divisors, whose sum is σ = 8798665794048. Its totient is φ = 773555650560.

The previous prime is 2682694948007. The next prime is 2682694948049. The reversal of 2682694948032 is 2308494962862.

2682694948032 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 69 + 494 + 80 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28077813 + ... + 28173195.

Almost surely, 2^{2682694948032} is an apocalyptic number.

2682694948032 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 2682694948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399332897024).

2682694948032 is an abundant number, since it is smaller than the sum of its proper divisors (6115970846016).

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

2682694948032 is a wasteful number, since it uses less digits than its factorization.

2682694948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95628 (or 95615 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 2682694948032 in words is "two trillion, six hundred eighty-two billion, six hundred ninety-four million, nine hundred forty-eight thousand, thirty-two".