2249168544 has 576 divisors, whose sum is σ = 8378173440. Its totient is φ = 557383680.

The previous prime is 2249168531. The next prime is 2249168549. The reversal of 2249168544 is 4458619422.

It is a happy number.

2249168544 is a `hidden beast` number, since 2 + 2 + 49 + 1 + 68 + 544 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2249168544.

It is not an unprimeable number, because it can be changed into a prime (2249168549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30810492 + ... + 30810564.

It is an arithmetic number, because the mean of its divisors is an integer number (14545440).

Almost surely, 2^2249168544 is an apocalyptic number.

2249168544 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 2249168544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189086720).

2249168544 is an abundant number, since it is smaller than the sum of its proper divisors (6129004896).

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

2249168544 is a wasteful number, since it uses less digits than its factorization.

2249168544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2249168544 is about 47425.3997769128. The cubic root of 2249168544 is about 1310.2092675028.

The spelling of 2249168544 in words is "two billion, two hundred forty-nine million, one hundred sixty-eight thousand, five hundred forty-four".