2760640 has 28 divisors (see below), whose sum is σ = 6574536. Its totient is φ = 1104128.

The previous prime is 2760631. The next prime is 2760649. The reversal of 2760640 is 460672.

It is an interprime number because it is at equal distance from previous prime (2760631) and next prime (2760649).

It is a super-2 number, since 2×2760640² = 15242266419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3994 + ... + 4633.

2^2760640 is an apocalyptic number.

2760640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2760640 is an abundant number, since it is smaller than the sum of its proper divisors (3813896).

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

2760640 is an equidigital number, since it uses as much as digits as its factorization.

2760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2760640 is about 1661.5173787836. The cubic root of 2760640 is about 140.2824230799.

Subtracting from 2760640 its reverse (460672), we obtain a cube (2299968 = 132³).

The spelling of 2760640 in words is "two million, seven hundred sixty thousand, six hundred forty".