2682113616 has 120 divisors (see below), whose sum is σ = 9238436480. Its totient is φ = 707367168.

The previous prime is 2682113597. The next prime is 2682113617. The reversal of 2682113616 is 6163112862.

It is a happy number.

2682113616 is a `hidden beast` number, since 2 + 6 + 8 + 21 + 13 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682113617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89236 + ... + 115443.

Almost surely, 2^2682113616 is an apocalyptic number.

2682113616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2682113616 is an abundant number, since it is smaller than the sum of its proper divisors (6556322864).

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

2682113616 is a wasteful number, since it uses less digits than its factorization.

2682113616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204713 (or 204704 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2682113616 is about 51789.1264263069. The cubic root of 2682113616 is about 1389.3949743401.

The spelling of 2682113616 in words is "two billion, six hundred eighty-two million, one hundred thirteen thousand, six hundred sixteen".