2249871120 has 320 divisors, whose sum is σ = 9378685440. Its totient is φ = 483950592.

The previous prime is 2249871083. The next prime is 2249871121. The reversal of 2249871120 is 211789422.

It is a super-2 number, since 2×2249871120² = 10123840113220108800, which contains 22 as substring.

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 (2249871121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252664 + ... + 261416.

It is an arithmetic number, because the mean of its divisors is an integer number (29308392).

Almost surely, 2^2249871120 is an apocalyptic number.

2249871120 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 2249871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689342720).

2249871120 is an abundant number, since it is smaller than the sum of its proper divisors (7128814320).

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

2249871120 is a wasteful number, since it uses less digits than its factorization.

2249871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2249871120 is about 47432.8063685884. The cubic root of 2249871120 is about 1310.3456772822.

The spelling of 2249871120 in words is "two billion, two hundred forty-nine million, eight hundred seventy-one thousand, one hundred twenty".