2682796032 has 384 divisors, whose sum is σ = 9434880000. Its totient is φ = 736985088.

The previous prime is 2682796019. The next prime is 2682796033. The reversal of 2682796032 is 2306972862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682796033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11224969 + ... + 11225207.

It is an arithmetic number, because the mean of its divisors is an integer number (24570000).

Almost surely, 2^2682796032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440000).

2682796032 is an abundant number, since it is smaller than the sum of its proper divisors (6752083968).

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

2682796032 is a wasteful number, since it uses less digits than its factorization.

2682796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2682796032 is about 51795.7144173145. The cubic root of 2682796032 is about 1389.5127999428.

The spelling of 2682796032 in words is "two billion, six hundred eighty-two million, seven hundred ninety-six thousand, thirty-two".