2249724672 has 144 divisors (see below), whose sum is σ = 7164874080. Its totient is φ = 692195328.

The previous prime is 2249724667. The next prime is 2249724703. The reversal of 2249724672 is 2764279422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2249724672² = 10122522199611015168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77338 + ... + 102374.

It is an arithmetic number, because the mean of its divisors is an integer number (49756070).

Almost surely, 2^2249724672 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 2249724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582437040).

2249724672 is an abundant number, since it is smaller than the sum of its proper divisors (4915149408).

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

2249724672 is a wasteful number, since it uses less digits than its factorization.

2249724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25075 (or 25055 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2249724672 is about 47431.2626017904. The cubic root of 2249724672 is about 1310.3172457770.

The spelling of 2249724672 in words is "two billion, two hundred forty-nine million, seven hundred twenty-four thousand, six hundred seventy-two".