2696640 has 84 divisors (see below), whose sum is σ = 8726424. Its totient is φ = 705536.

The previous prime is 2696633. The next prime is 2696641. The reversal of 2696640 is 466962.

2696640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696641) 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, 50854 + ... + 50906.

It is an arithmetic number, because the mean of its divisors is an integer number (103886).

2^2696640 is an apocalyptic number.

2696640 is a gapful number since it is divisible by the number (20) 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 2696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363212).

2696640 is an abundant number, since it is smaller than the sum of its proper divisors (6029784).

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

2696640 is an equidigital number, since it uses as much as digits as its factorization.

2696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2696640 is about 1642.1449387919. The cubic root of 2696640 is about 139.1898790369.

The spelling of 2696640 in words is "two million, six hundred ninety-six thousand, six hundred forty".