2012131264 has 224 divisors, whose sum is σ = 4997744640. Its totient is φ = 797322240.

The previous prime is 2012131259. The next prime is 2012131301. The reversal of 2012131264 is 4621312102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25469977 + ... + 25470055.

It is an arithmetic number, because the mean of its divisors is an integer number (22311360).

Almost surely, 2^2012131264 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 2012131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498872320).

2012131264 is an abundant number, since it is smaller than the sum of its proper divisors (2985613376).

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

2012131264 is a wasteful number, since it uses less digits than its factorization.

2012131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2012131264 is about 44856.7861532678. The cubic root of 2012131264 is about 1262.4633224518.

Adding to 2012131264 its reverse (4621312102), we get a palindrome (6633443366).

The spelling of 2012131264 in words is "two billion, twelve million, one hundred thirty-one thousand, two hundred sixty-four".