2682340224 has 256 divisors, whose sum is σ = 7830466560. Its totient is φ = 811008000.

The previous prime is 2682340217. The next prime is 2682340231. The reversal of 2682340224 is 4220432862.

It is an interprime number because it is at equal distance from previous prime (2682340217) and next prime (2682340231).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26557774 + ... + 26557874.

It is an arithmetic number, because the mean of its divisors is an integer number (30587760).

Almost surely, 2^2682340224 is an apocalyptic number.

2682340224 is a gapful number since it is divisible by the number (24) 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 2682340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915233280).

2682340224 is an abundant number, since it is smaller than the sum of its proper divisors (5148126336).

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

2682340224 is a wasteful number, since it uses less digits than its factorization.

2682340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2682340224 is about 51791.3141752553. The cubic root of 2682340224 is about 1389.4341025794.

The spelling of 2682340224 in words is "two billion, six hundred eighty-two million, three hundred forty thousand, two hundred twenty-four".