2249480160 has 288 divisors, whose sum is σ = 8136640512. Its totient is φ = 586621440.

The previous prime is 2249480141. The next prime is 2249480183. The reversal of 2249480160 is 610849422.

2249480160 is a `hidden beast` number, since 2 + 2 + 494 + 8 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1826745 + ... + 1827975.

It is an arithmetic number, because the mean of its divisors is an integer number (28252224).

Almost surely, 2^2249480160 is an apocalyptic number.

2249480160 is a gapful number since it is divisible by the number (20) 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 2249480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068320256).

2249480160 is an abundant number, since it is smaller than the sum of its proper divisors (5887160352).

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

2249480160 is a wasteful number, since it uses less digits than its factorization.

2249480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2249480160 is about 47428.6849912582. The cubic root of 2249480160 is about 1310.2697733163.

The spelling of 2249480160 in words is "two billion, two hundred forty-nine million, four hundred eighty thousand, one hundred sixty".