2722427913312 has 240 divisors, whose sum is σ = 8566157199600. Its totient is φ = 845619471360.

The previous prime is 2722427913281. The next prime is 2722427913377. The reversal of 2722427913312 is 2133197242272.

2722427913312 is a `hidden beast` number, since 2 + 7 + 2 + 242 + 7 + 91 + 3 + 312 = 666.

It is a super-2 number, since 2×2722427913312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2551014 + ... + 3457242.

It is an arithmetic number, because the mean of its divisors is an integer number (35692321665).

Almost surely, 2^{2722427913312} 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 2722427913312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283078599800).

2722427913312 is an abundant number, since it is smaller than the sum of its proper divisors (5843729286288).

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

2722427913312 is a wasteful number, since it uses less digits than its factorization.

2722427913312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906331 (or 906314 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 2722427913312 in words is "two trillion, seven hundred twenty-two billion, four hundred twenty-seven million, nine hundred thirteen thousand, three hundred twelve".