2785640 has 64 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 933120.

The previous prime is 2785639. The next prime is 2785649. The reversal of 2785640 is 465872.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2785597 and 2785606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5477 + ... + 5963.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

2^2785640 is an apocalyptic number.

2785640 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 2785640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

2785640 is an abundant number, since it is smaller than the sum of its proper divisors (4592920).

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

2785640 is a wasteful number, since it uses less digits than its factorization.

2785640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2785640 is about 1669.0236666986. The cubic root of 2785640 is about 140.7046110535.

The spelling of 2785640 in words is "two million, seven hundred eighty-five thousand, six hundred forty".