2248731072 has 280 divisors, whose sum is σ = 7867904000. Its totient is φ = 621457920.

The previous prime is 2248731047. The next prime is 2248731101. The reversal of 2248731072 is 2701378422.

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

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 39 ways as a sum of consecutive naturals, for example, 1123929 + ... + 1125927.

Almost surely, 2^2248731072 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 2248731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933952000).

2248731072 is an abundant number, since it is smaller than the sum of its proper divisors (5619172928).

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

2248731072 is a wasteful number, since it uses less digits than its factorization.

2248731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2248731072 is about 47420.7873405746. The cubic root of 2248731072 is about 1310.1243150677.

The spelling of 2248731072 in words is "two billion, two hundred forty-eight million, seven hundred thirty-one thousand, seventy-two".