2249910720 has 168 divisors, whose sum is σ = 7870515120. Its totient is φ = 589762560.

The previous prime is 2249910703. The next prime is 2249910739. The reversal of 2249910720 is 270199422.

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 23 ways as a sum of consecutive naturals, for example, 163300 + ... + 176540.

Almost surely, 2^2249910720 is an apocalyptic number.

2249910720 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 2249910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935257560).

2249910720 is an abundant number, since it is smaller than the sum of its proper divisors (5620604400).

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

2249910720 is a wasteful number, since it uses less digits than its factorization.

2249910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13323 (or 13310 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2249910720 is about 47433.2237993582. The cubic root of 2249910720 is about 1310.3533650388.

The spelling of 2249910720 in words is "two billion, two hundred forty-nine million, nine hundred ten thousand, seven hundred twenty".