2638968 has 32 divisors (see below), whose sum is σ = 6812160. Its totient is φ = 851040.

The previous prime is 2638949. The next prime is 2638973. The reversal of 2638968 is 8698362.

It is a d-powerful number, because it can be written as 2¹¹ + 6² + 3 + 8³ + 9⁶ + 6⁵ + 8⁷ .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030 + ... + 2517.

It is an arithmetic number, because the mean of its divisors is an integer number (212880).

2^2638968 is an apocalyptic number.

It is an amenable number.

2638968 is an abundant number, since it is smaller than the sum of its proper divisors (4173192).

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

2638968 is a wasteful number, since it uses less digits than its factorization.

2638968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3583 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2638968 is about 1624.4900738386. The cubic root of 2638968 is about 138.1904532713.

The spelling of 2638968 in words is "two million, six hundred thirty-eight thousand, nine hundred sixty-eight".