2684344320 has 768 divisors, whose sum is σ = 11636352000. Its totient is φ = 573308928.

The previous prime is 2684344297. The next prime is 2684344331. The reversal of 2684344320 is 234434862.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771804 + ... + 36771876.

It is an arithmetic number, because the mean of its divisors is an integer number (15151500).

Almost surely, 2^2684344320 is an apocalyptic number.

2684344320 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 2684344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818176000).

2684344320 is an abundant number, since it is smaller than the sum of its proper divisors (8952007680).

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

2684344320 is a wasteful number, since it uses less digits than its factorization.

2684344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2684344320 is about 51810.6583629276. The cubic root of 2684344320 is about 1389.7800524954.

The spelling of 2684344320 in words is "two billion, six hundred eighty-four million, three hundred forty-four thousand, three hundred twenty".