2012328995040 has 1728 divisors, whose sum is σ = 8958203444736. Its totient is φ = 417601806336.

The previous prime is 2012328994993. The next prime is 2012328995101. The reversal of 2012328995040 is 405998232102.

2012328995040 is a `hidden beast` number, since 20 + 1 + 2 + 32 + 8 + 99 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3081667354 + ... + 3081668006.

It is an arithmetic number, because the mean of its divisors is an integer number (5184145512).

Almost surely, 2^{2012328995040} is an apocalyptic number.

2012328995040 is a gapful number since it is divisible by the number (20) 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 2012328995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479101722368).

2012328995040 is an abundant number, since it is smaller than the sum of its proper divisors (6945874449696).

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

2012328995040 is a wasteful number, since it uses less digits than its factorization.

2012328995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2012328995040 in words is "two trillion, twelve billion, three hundred twenty-eight million, nine hundred ninety-five thousand, forty".