2249721216 has 192 divisors, whose sum is σ = 6772147200. Its totient is φ = 743385600.

The previous prime is 2249721191. The next prime is 2249721217. The reversal of 2249721216 is 6121279422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2249721216² = 10122491099441037312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249721217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4696465 + ... + 4696943.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 2^2249721216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386073600).

2249721216 is an abundant number, since it is smaller than the sum of its proper divisors (4522425984).

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

2249721216 is an equidigital number, since it uses as much as digits as its factorization.

2249721216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2249721216 is about 47431.2261701087. The cubic root of 2249721216 is about 1310.3165748121.

The spelling of 2249721216 in words is "two billion, two hundred forty-nine million, seven hundred twenty-one thousand, two hundred sixteen".