2803640 has 128 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 829440.

The previous prime is 2803639. The next prime is 2803649. The reversal of 2803640 is 463082.

It is a happy number.

2803640 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

2803640 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90425 + ... + 90455.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2^2803640 is an apocalyptic number.

2803640 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 2803640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

2803640 is an abundant number, since it is smaller than the sum of its proper divisors (5490760).

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

2803640 is a wasteful number, since it uses less digits than its factorization.

2803640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2803640 is about 1674.4073578434. The cubic root of 2803640 is about 141.0070247829.

It can be divided in two parts, 2803 and 640, that added together give a palindrome (3443).

The spelling of 2803640 in words is "two million, eight hundred three thousand, six hundred forty".