2249075808 has 192 divisors, whose sum is σ = 7591127040. Its totient is φ = 642453120.

The previous prime is 2249075767. The next prime is 2249075813. The reversal of 2249075808 is 8085709422.

2249075808 is a `hidden beast` number, since 22 + 49 + 0 + 7 + 580 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 487593 + ... + 492183.

It is an arithmetic number, because the mean of its divisors is an integer number (39537120).

Almost surely, 2^2249075808 is an apocalyptic number.

2249075808 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 2249075808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795563520).

2249075808 is an abundant number, since it is smaller than the sum of its proper divisors (5342051232).

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

2249075808 is an frugal number, since it uses more digits than its factorization.

2249075808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2249075808 is about 47424.4220628992. The cubic root of 2249075808 is about 1310.1912600726.

The spelling of 2249075808 in words is "two billion, two hundred forty-nine million, seventy-five thousand, eight hundred eight".