2281533072 has 320 divisors, whose sum is σ = 7852830720. Its totient is φ = 553900032.

The previous prime is 2281533049. The next prime is 2281533101. The reversal of 2281533072 is 2703351822.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3070333 + ... + 3071075.

It is an arithmetic number, because the mean of its divisors is an integer number (24540096).

Almost surely, 2^2281533072 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 2281533072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926415360).

2281533072 is an abundant number, since it is smaller than the sum of its proper divisors (5571297648).

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

2281533072 is a wasteful number, since it uses less digits than its factorization.

2281533072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2281533072 is about 47765.3961775677. The cubic root of 2281533072 is about 1316.4638042710.

Adding to 2281533072 its reverse (2703351822), we get a palindrome (4984884894).

It can be divided in two parts, 228 and 1533072, that multiplied together give a square (349540416 = 18696²).

The spelling of 2281533072 in words is "two billion, two hundred eighty-one million, five hundred thirty-three thousand, seventy-two".