2494075584 has 448 divisors, whose sum is σ = 9340047360. Its totient is φ = 565678080.

The previous prime is 2494075579. The next prime is 2494075589. The reversal of 2494075584 is 4855704942.

It is an interprime number because it is at equal distance from previous prime (2494075579) and next prime (2494075589).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (2494075589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651307 + ... + 3651989.

It is an arithmetic number, because the mean of its divisors is an integer number (20848320).

Almost surely, 2^2494075584 is an apocalyptic number.

2494075584 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 2494075584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670023680).

2494075584 is an abundant number, since it is smaller than the sum of its proper divisors (6845971776).

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

2494075584 is a wasteful number, since it uses less digits than its factorization.

2494075584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 2494075584 is about 49940.7206996455. The cubic root of 2494075584 is about 1356.1358710365.

The spelling of 2494075584 in words is "two billion, four hundred ninety-four million, seventy-five thousand, five hundred eighty-four".