2012633448 has 160 divisors (see below), whose sum is σ = 5989658400. Its totient is φ = 563332224.

The previous prime is 2012633407. The next prime is 2012633459. The reversal of 2012633448 is 8443362102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053743 + ... + 3054401.

It is an arithmetic number, because the mean of its divisors is an integer number (37435365).

Almost surely, 2^2012633448 is an apocalyptic number.

2012633448 is a gapful number since it is divisible by the number (28) 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 2012633448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994829200).

2012633448 is an abundant number, since it is smaller than the sum of its proper divisors (3977024952).

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

2012633448 is an equidigital number, since it uses as much as digits as its factorization.

2012633448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2012633448 is about 44862.3834409185. The cubic root of 2012633448 is about 1262.5683414693.

The spelling of 2012633448 in words is "two billion, twelve million, six hundred thirty-three thousand, four hundred forty-eight".