2631696 has 40 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 867456.

The previous prime is 2631691. The next prime is 2631701. The reversal of 2631696 is 6961362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2631691) and next prime (2631701).

It is not an unprimeable number, because it can be changed into a prime (2631691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4981 + ... + 5483.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

2^2631696 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 2631696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2631696 is an abundant number, since it is smaller than the sum of its proper divisors (4242864).

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

2631696 is a wasteful number, since it uses less digits than its factorization.

2631696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 2631696 is about 1622.2502889505. The cubic root of 2631696 is about 138.0634029177.

It can be divided in two parts, 263169 and 6, that added together give a triangular number (263175 = T₇₂₅).

The spelling of 2631696 in words is "two million, six hundred thirty-one thousand, six hundred ninety-six".