2591163456 has 224 divisors, whose sum is σ = 8534400000. Its totient is φ = 676988928.

The previous prime is 2591163451. The next prime is 2591163457. The reversal of 2591163456 is 6543611952.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2591163451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738795 + ... + 742293.

It is an arithmetic number, because the mean of its divisors is an integer number (38100000).

Almost surely, 2^2591163456 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 2591163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200000).

2591163456 is an abundant number, since it is smaller than the sum of its proper divisors (5943236544).

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

2591163456 is a wasteful number, since it uses less digits than its factorization.

2591163456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3559 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 2591163456 is about 50903.4719444558. The cubic root of 2591163456 is about 1373.5092967941.

The spelling of 2591163456 in words is "two billion, five hundred ninety-one million, one hundred sixty-three thousand, four hundred fifty-six".