2638965 has 32 divisors (see below), whose sum is σ = 4951296. Its totient is φ = 1175040.

The previous prime is 2638949. The next prime is 2638973. The reversal of 2638965 is 5698362.

It is not a de Polignac number, because 2638965 - 2⁴ = 2638949 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 6² + 3¹¹ + 8 + 9⁴ + 6⁷ + 5⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3999 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

2^2638965 is an apocalyptic number.

It is an amenable number.

2638965 is a deficient number, since it is larger than the sum of its proper divisors (2312331).

2638965 is a wasteful number, since it uses less digits than its factorization.

2638965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669.

The product of its digits is 77760, while the sum is 39.

The square root of 2638965 is about 1624.4891504716. The cubic root of 2638965 is about 138.1904009060.

It can be divided in two parts, 263896 and 5, that added together give a triangular number (263901 = T₇₂₆).

The spelling of 2638965 in words is "two million, six hundred thirty-eight thousand, nine hundred sixty-five".