2740640 has 48 divisors (see below), whose sum is σ = 7402752. Its totient is φ = 939264.

The previous prime is 2740631. The next prime is 2740643. The reversal of 2740640 is 460472.

It is a super-2 number, since 2×2740640² = 15022215219200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

2^2740640 is an apocalyptic number.

2740640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376).

2740640 is an abundant number, since it is smaller than the sum of its proper divisors (4662112).

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

2740640 is a wasteful number, since it uses less digits than its factorization.

2740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2740640 is about 1655.4878435072. The cubic root of 2740640 is about 139.9428338034.

The spelling of 2740640 in words is "two million, seven hundred forty thousand, six hundred forty".