2722142342736 has 80 divisors (see below), whose sum is σ = 7831355804800. Its totient is φ = 905313791232.

The previous prime is 2722142342729. The next prime is 2722142342779. The reversal of 2722142342736 is 6372432412272.

2722142342736 is a `hidden beast` number, since 2 + 7 + 2 + 214 + 2 + 3 + 427 + 3 + 6 = 666.

2722142342736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2722142342691 and 2722142342700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6987181 + ... + 7366476.

It is an arithmetic number, because the mean of its divisors is an integer number (97891947560).

Almost surely, 2^{2722142342736} is an apocalyptic number.

It is an amenable number.

2722142342736 is an abundant number, since it is smaller than the sum of its proper divisors (5109213462064).

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

2722142342736 is a wasteful number, since it uses less digits than its factorization.

2722142342736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354113 (or 14354101 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 2722142342736 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-two million, three hundred forty-two thousand, seven hundred thirty-six".