2722145417460 has 144 divisors (see below), whose sum is σ = 9505652921856. Its totient is φ = 617662987776.

The previous prime is 2722145417449. The next prime is 2722145417489. The reversal of 2722145417460 is 647145412272.

2722145417460 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 145 + 41 + 7 + 460 = 666.

2722145417460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7712172 + ... + 8057411.

It is an arithmetic number, because the mean of its divisors is an integer number (66011478624).

Almost surely, 2^{2722145417460} is an apocalyptic number.

2722145417460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2722145417460 is an abundant number, since it is smaller than the sum of its proper divisors (6783507504396).

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

2722145417460 is a wasteful number, since it uses less digits than its factorization.

2722145417460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769742 (or 15769737 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2722145417460 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-five million, four hundred seventeen thousand, four hundred sixty".