2494291968 has 336 divisors, whose sum is σ = 8587313280. Its totient is φ = 708673536.

The previous prime is 2494291967. The next prime is 2494291973. The reversal of 2494291968 is 8691924942.

2494291968 is a `hidden beast` number, since 2 + 494 + 2 + 91 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494291963) 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 23 ways as a sum of consecutive naturals, for example, 13934503 + ... + 13934681.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2^2494291968 is an apocalyptic number.

2494291968 is a gapful number since it is divisible by the number (28) 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 2494291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293656640).

2494291968 is an abundant number, since it is smaller than the sum of its proper divisors (6093021312).

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

2494291968 is an frugal number, since it uses more digits than its factorization.

2494291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2494291968 is about 49942.8870611221. The cubic root of 2494291968 is about 1356.1750889896.

The spelling of 2494291968 in words is "two billion, four hundred ninety-four million, two hundred ninety-one thousand, nine hundred sixty-eight".