2682348864 has 224 divisors, whose sum is σ = 8117921280. Its totient is φ = 774862848.

The previous prime is 2682348853. The next prime is 2682348869. The reversal of 2682348864 is 4688432862.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682348869) 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, 7729939 + ... + 7730285.

It is an arithmetic number, because the mean of its divisors is an integer number (36240720).

Almost surely, 2^2682348864 is an apocalyptic number.

2682348864 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 2682348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058960640).

2682348864 is an abundant number, since it is smaller than the sum of its proper divisors (5435572416).

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

2682348864 is a wasteful number, since it uses less digits than its factorization.

2682348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 2682348864 is about 51791.3975868580. The cubic root of 2682348864 is about 1389.4355943983.

The spelling of 2682348864 in words is "two billion, six hundred eighty-two million, three hundred forty-eight thousand, eight hundred sixty-four".