2684640 has 192 divisors, whose sum is σ = 10450944. Its totient is φ = 565248.

The previous prime is 2684611. The next prime is 2684641. The reversal of 2684640 is 464862.

2684640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2684598 and 2684607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57097 + ... + 57143.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2^2684640 is an apocalyptic number.

2684640 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 2684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

2684640 is an abundant number, since it is smaller than the sum of its proper divisors (7766304).

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

2684640 is a wasteful number, since it uses less digits than its factorization.

2684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2684640 is about 1638.4871070594. The cubic root of 2684640 is about 138.9831078622.

It can be divided in two parts, 26 and 84640, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 2684640 in words is "two million, six hundred eighty-four thousand, six hundred forty".