2248554672 has 480 divisors, whose sum is σ = 8227390080. Its totient is φ = 557383680.

The previous prime is 2248554661. The next prime is 2248554673. The reversal of 2248554672 is 2764558422.

2248554672 is a `hidden beast` number, since 2 + 24 + 8 + 554 + 6 + 72 = 666.

It is a super-2 number, since 2×2248554672² = 10111996225946055168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2248554673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23180928 + ... + 23181024.

It is an arithmetic number, because the mean of its divisors is an integer number (17140396).

Almost surely, 2^2248554672 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 2248554672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113695040).

2248554672 is an abundant number, since it is smaller than the sum of its proper divisors (5978835408).

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

2248554672 is a wasteful number, since it uses less digits than its factorization.

2248554672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2248554672 is about 47418.9273602852. The cubic root of 2248554672 is about 1310.0900569365.

The spelling of 2248554672 in words is "two billion, two hundred forty-eight million, five hundred fifty-four thousand, six hundred seventy-two".