2693640 has 32 divisors (see below), whose sum is σ = 8081280. Its totient is φ = 718272.

The previous prime is 2693629. The next prime is 2693651. The reversal of 2693640 is 463962.

It is an interprime number because it is at equal distance from previous prime (2693629) and next prime (2693651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2693598 and 2693607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11104 + ... + 11343.

It is an arithmetic number, because the mean of its divisors is an integer number (252540).

2^2693640 is an apocalyptic number.

2693640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2693640 is an abundant number, since it is smaller than the sum of its proper divisors (5387640).

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

2693640 is a wasteful number, since it uses less digits than its factorization.

2693640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461 (or 22457 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2693640 is about 1641.2312451328. The cubic root of 2693640 is about 139.1382438438.

It can be divided in two parts, 2693 and 640, that added together give a palindrome (3333).

The spelling of 2693640 in words is "two million, six hundred ninety-three thousand, six hundred forty".