2622267672 has 64 divisors (see below), whose sum is σ = 6918912000. Its totient is φ = 825899904.

The previous prime is 2622267643. The next prime is 2622267677. The reversal of 2622267672 is 2767622262.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2622267677) 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, 169993 + ... + 184775.

It is an arithmetic number, because the mean of its divisors is an integer number (108108000).

Almost surely, 2^2622267672 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 2622267672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456000).

2622267672 is an abundant number, since it is smaller than the sum of its proper divisors (4296644328).

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

2622267672 is a wasteful number, since it uses less digits than its factorization.

2622267672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15200 (or 15196 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 2622267672 is about 51208.0820964816. The cubic root of 2622267672 is about 1378.9833007117.

The spelling of 2622267672 in words is "two billion, six hundred twenty-two million, two hundred sixty-seven thousand, six hundred seventy-two".