2764640 has 48 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 1073664.

The previous prime is 2764637. The next prime is 2764649. The reversal of 2764640 is 464672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764649) 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, 5687 + ... + 6153.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

2^2764640 is an apocalyptic number.

2764640 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 2764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2764640 is an abundant number, since it is smaller than the sum of its proper divisors (3957712).

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

2764640 is a wasteful number, since it uses less digits than its factorization.

2764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2764640 is about 1662.7206620476. The cubic root of 2764640 is about 140.3501439582.

Subtracting from 2764640 its reverse (464672), we obtain a cube (2299968 = 132³).

The spelling of 2764640 in words is "two million, seven hundred sixty-four thousand, six hundred forty".