2249442720 has 288 divisors, whose sum is σ = 9289582848. Its totient is φ = 483876864.

The previous prime is 2249442709. The next prime is 2249442721. The reversal of 2249442720 is 272449422.

2249442720 is a `hidden beast` number, since 224 + 9 + 4 + 427 + 2 + 0 = 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 not an unprimeable number, because it can be changed into a prime (2249442721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164797 + ... + 177923.

It is an arithmetic number, because the mean of its divisors is an integer number (32255496).

Almost surely, 2^2249442720 is an apocalyptic number.

2249442720 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 2249442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644791424).

2249442720 is an abundant number, since it is smaller than the sum of its proper divisors (7040140128).

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

2249442720 is a wasteful number, since it uses less digits than its factorization.

2249442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13172 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2249442720 is about 47428.2902917657. The cubic root of 2249442720 is about 1310.2625039668.

The spelling of 2249442720 in words is "two billion, two hundred forty-nine million, four hundred forty-two thousand, seven hundred twenty".