2291127664 has 80 divisors (see below), whose sum is σ = 5303787520. Its totient is φ = 938096640.

The previous prime is 2291127661. The next prime is 2291127667. The reversal of 2291127664 is 4667211922.

It is an interprime number because it is at equal distance from previous prime (2291127661) and next prime (2291127667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291127661) 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, 270112 + ... + 278464.

It is an arithmetic number, because the mean of its divisors is an integer number (66297344).

Almost surely, 2^2291127664 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 2291127664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651893760).

2291127664 is an abundant number, since it is smaller than the sum of its proper divisors (3012659856).

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

2291127664 is a wasteful number, since it uses less digits than its factorization.

2291127664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8472 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 2291127664 is about 47865.7253575040. The cubic root of 2291127664 is about 1318.3066102854.

The spelling of 2291127664 in words is "two billion, two hundred ninety-one million, one hundred twenty-seven thousand, six hundred sixty-four".