2722145630064 has 160 divisors (see below), whose sum is σ = 8064123624960. Its totient is φ = 775114776576.

The previous prime is 2722145630011. The next prime is 2722145630077. The reversal of 2722145630064 is 4600365412272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2722145629998 and 2722145630025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400724652 + ... + 400731444.

It is an arithmetic number, because the mean of its divisors is an integer number (50400772656).

Almost surely, 2^{2722145630064} is an apocalyptic number.

2722145630064 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 2722145630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032061812480).

2722145630064 is an abundant number, since it is smaller than the sum of its proper divisors (5341977994896).

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

2722145630064 is a wasteful number, since it uses less digits than its factorization.

2722145630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 2722145630064 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-five million, six hundred thirty thousand, sixty-four".