2491267584 has 320 divisors, whose sum is σ = 7795751040. Its totient is φ = 699924480.

The previous prime is 2491267579. The next prime is 2491267613. The reversal of 2491267584 is 4857621942.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13917607 + ... + 13917785.

It is an arithmetic number, because the mean of its divisors is an integer number (24361722).

Almost surely, 2^2491267584 is an apocalyptic number.

2491267584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491267584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897875520).

2491267584 is an abundant number, since it is smaller than the sum of its proper divisors (5304483456).

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

2491267584 is a wasteful number, since it uses less digits than its factorization.

2491267584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2491267584 is about 49912.5994514411. The cubic root of 2491267584 is about 1355.6267365689.

The spelling of 2491267584 in words is "two billion, four hundred ninety-one million, two hundred sixty-seven thousand, five hundred eighty-four".