2248496064 has 112 divisors (see below), whose sum is σ = 6634215840. Its totient is φ = 746772480.

The previous prime is 2248496039. The next prime is 2248496071. The reversal of 2248496064 is 4606948422.

2248496064 is a `hidden beast` number, since 22 + 484 + 96 + 0 + 64 = 666.

It is a super-3 number, since 3×2248496064³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 504084 + ... + 508524.

It is an arithmetic number, because the mean of its divisors is an integer number (59234070).

Almost surely, 2^2248496064 is an apocalyptic number.

2248496064 is a gapful number since it is divisible by the number (24) 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 2248496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317107920).

2248496064 is an abundant number, since it is smaller than the sum of its proper divisors (4385719776).

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

2248496064 is a wasteful number, since it uses less digits than its factorization.

2248496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2248496064 is about 47418.3093751770. The cubic root of 2248496064 is about 1310.0786744506.

The spelling of 2248496064 in words is "two billion, two hundred forty-eight million, four hundred ninety-six thousand, sixty-four".