2772269958656 has 160 divisors (see below), whose sum is σ = 6161634344448. Its totient is φ = 1235355197440.

The previous prime is 2772269958569. The next prime is 2772269958659. The reversal of 2772269958656 is 6568599622772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772269958659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472516235 + ... + 472522101.

Almost surely, 2^{2772269958656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772269958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080817172224).

2772269958656 is an abundant number, since it is smaller than the sum of its proper divisors (3389364385792).

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

2772269958656 is a wasteful number, since it uses less digits than its factorization.

2772269958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7516 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 74.

The spelling of 2772269958656 in words is "two trillion, seven hundred seventy-two billion, two hundred sixty-nine million, nine hundred fifty-eight thousand, six hundred fifty-six".