2692116 has 60 divisors (see below), whose sum is σ = 8049888. Its totient is φ = 768528.

The previous prime is 2692093. The next prime is 2692117. The reversal of 2692116 is 6112962.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2692116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2692117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1675 + ... + 2861.

2^2692116 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 2692116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024944).

2692116 is an abundant number, since it is smaller than the sum of its proper divisors (5357772).

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

2692116 is a wasteful number, since it uses less digits than its factorization.

2692116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2692116 is about 1640.7668938640. The cubic root of 2692116 is about 139.1119984799. Note that the first 3 decimals are identical.

The spelling of 2692116 in words is "two million, six hundred ninety-two thousand, one hundred sixteen".