2657116 has 24 divisors (see below), whose sum is σ = 5798016. Its totient is φ = 1035120.

The previous prime is 2657111. The next prime is 2657119. The reversal of 2657116 is 6117562.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4006 + ... + 4621.

It is an arithmetic number, because the mean of its divisors is an integer number (241584).

2^2657116 is an apocalyptic number.

It is an amenable number.

2657116 is an abundant number, since it is smaller than the sum of its proper divisors (3140900).

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

2657116 is a wasteful number, since it uses less digits than its factorization.

2657116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649 (or 8647 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 2657116 is about 1630.0662563221. The cubic root of 2657116 is about 138.5065052747.

It can be divided in two parts, 265 and 7116, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 2657116 in words is "two million, six hundred fifty-seven thousand, one hundred sixteen".