2722074513264 has 240 divisors, whose sum is σ = 8257016731392. Its totient is φ = 833792182272.

The previous prime is 2722074513253. The next prime is 2722074513269. The reversal of 2722074513264 is 4623154702272.

2722074513264 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 0 + 74 + 513 + 2 + 64 = 666.

It is a super-2 number, since 2×2722074513264² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722074513269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459263869 + ... + 459269795.

Almost surely, 2^{2722074513264} is an apocalyptic number.

2722074513264 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 2722074513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128508365696).

2722074513264 is an abundant number, since it is smaller than the sum of its proper divisors (5534942218128).

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

2722074513264 is a wasteful number, since it uses less digits than its factorization.

2722074513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2722074513264 in words is "two trillion, seven hundred twenty-two billion, seventy-four million, five hundred thirteen thousand, two hundred sixty-four".