2722896000 has 640 divisors, whose sum is σ = 11090027520. Its totient is φ = 656640000.

The previous prime is 2722895999. The next prime is 2722896049. The reversal of 2722896000 is 6982272.

2722896000 is a `hidden beast` number, since 27 + 2 + 28 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255905 + ... + 14256095.

It is an arithmetic number, because the mean of its divisors is an integer number (17328168).

Almost surely, 2^2722896000 is an apocalyptic number.

2722896000 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 2722896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545013760).

2722896000 is an abundant number, since it is smaller than the sum of its proper divisors (8367131520).

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

2722896000 is a wasteful number, since it uses less digits than its factorization.

2722896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2722896000 is about 52181.3759879902. The cubic root of 2722896000 is about 1396.4016435855.

The spelling of 2722896000 in words is "two billion, seven hundred twenty-two million, eight hundred ninety-six thousand".