2622191616 has 288 divisors, whose sum is σ = 8585740800. Its totient is φ = 792944640.

The previous prime is 2622191587. The next prime is 2622191623. The reversal of 2622191616 is 6161912262.

2622191616 is a `hidden beast` number, since 2 + 6 + 22 + 19 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474065 + ... + 5474543.

It is an arithmetic number, because the mean of its divisors is an integer number (29811600).

Almost surely, 2^2622191616 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 2622191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400).

2622191616 is an abundant number, since it is smaller than the sum of its proper divisors (5963549184).

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

2622191616 is an equidigital number, since it uses as much as digits as its factorization.

2622191616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 495 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2622191616 is about 51207.3394739465. The cubic root of 2622191616 is about 1378.9699686164.

The spelling of 2622191616 in words is "two billion, six hundred twenty-two million, one hundred ninety-one thousand, six hundred sixteen".