2722145676624 has 240 divisors, whose sum is σ = 8823672748800. Its totient is φ = 774251274240.

The previous prime is 2722145676617. The next prime is 2722145676689. The reversal of 2722145676624 is 4266765412272.

It is a happy number.

2722145676624 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 1 + 4 + 5 + 6 + 7 + 6 + 624 = 666.

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, 9744852 + ... + 10020300.

It is an arithmetic number, because the mean of its divisors is an integer number (36765303120).

Almost surely, 2^{2722145676624} is an apocalyptic number.

2722145676624 is a gapful number since it is divisible by the number (24) 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 2722145676624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411836374400).

2722145676624 is an abundant number, since it is smaller than the sum of its proper divisors (6101527072176).

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

2722145676624 is a wasteful number, since it uses less digits than its factorization.

2722145676624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275858 (or 275849 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 2722145676624 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-five million, six hundred seventy-six thousand, six hundred twenty-four".