2012319504 has 240 divisors, whose sum is σ = 6410036160. Its totient is φ = 603832320.

The previous prime is 2012319503. The next prime is 2012319527. The reversal of 2012319504 is 4059132102.

2012319504 is a `hidden beast` number, since 20 + 123 + 19 + 504 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2012319503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3139024 + ... + 3139664.

It is an arithmetic number, because the mean of its divisors is an integer number (26708484).

Almost surely, 2^2012319504 is an apocalyptic number.

2012319504 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 2012319504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205018080).

2012319504 is an abundant number, since it is smaller than the sum of its proper divisors (4397716656).

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

2012319504 is a wasteful number, since it uses less digits than its factorization.

2012319504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2012319504 is about 44858.8843374420. The cubic root of 2012319504 is about 1262.5026901096.

The spelling of 2012319504 in words is "two billion, twelve million, three hundred nineteen thousand, five hundred four".