2733682000 has 320 divisors, whose sum is σ = 8170905600. Its totient is φ = 863654400.

The previous prime is 2733681983. The next prime is 2733682031. The reversal of 2733682000 is 2863372.

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, 11437881 + ... + 11438119.

It is an arithmetic number, because the mean of its divisors is an integer number (25534080).

Almost surely, 2^2733682000 is an apocalyptic number.

2733682000 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 2733682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085452800).

2733682000 is an abundant number, since it is smaller than the sum of its proper divisors (5437223600).

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

2733682000 is a wasteful number, since it uses less digits than its factorization.

2733682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2733682000 is about 52284.6248910710. The cubic root of 2733682000 is about 1398.2430340681.

The spelling of 2733682000 in words is "two billion, seven hundred thirty-three million, six hundred eighty-two thousand".