2696112 has 60 divisors (see below), whose sum is σ = 7838040. Its totient is φ = 887328.

The previous prime is 2696107. The next prime is 2696117. The reversal of 2696112 is 2116962.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2696107) and next prime (2696117).

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 not an unprimeable number, because it can be changed into a prime (2696117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34089 + ... + 34167.

It is an arithmetic number, because the mean of its divisors is an integer number (130634).

2^2696112 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 2696112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919020).

2696112 is an abundant number, since it is smaller than the sum of its proper divisors (5141928).

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

2696112 is an equidigital number, since it uses as much as digits as its factorization.

2696112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 84 counting only the distinct ones).

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

The square root of 2696112 is about 1641.9841655753. The cubic root of 2696112 is about 139.1807940208.

Multiplying 2696112 by its sum of digits (27), we get a square (72795024 = 8532²).

2696112 divided by its sum of digits (27) gives a square (99856 = 316²).

The spelling of 2696112 in words is "two million, six hundred ninety-six thousand, one hundred twelve".