2012907919824 has 240 divisors, whose sum is σ = 6146010499200. Its totient is φ = 612797819904.

The previous prime is 2012907919817. The next prime is 2012907919837. The reversal of 2012907919824 is 4289197092102.

It is a happy number.

2012907919824 is a `hidden beast` number, since 201 + 290 + 79 + 1 + 9 + 82 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10943077 + ... + 11125499.

It is an arithmetic number, because the mean of its divisors is an integer number (25608377080).

Almost surely, 2^{2012907919824} is an apocalyptic number.

2012907919824 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 2012907919824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073005249600).

2012907919824 is an abundant number, since it is smaller than the sum of its proper divisors (4133102579376).

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

2012907919824 is a wasteful number, since it uses less digits than its factorization.

2012907919824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182602 (or 182593 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 2012907919824 in words is "two trillion, twelve billion, nine hundred seven million, nine hundred nineteen thousand, eight hundred twenty-four".