2012964498000 has 480 divisors, whose sum is σ = 7171404563232. Its totient is φ = 526104576000.

The previous prime is 2012964497977. The next prime is 2012964498019. The reversal of 2012964498000 is 8944692102.

2012964498000 is a `hidden beast` number, since 2 + 0 + 129 + 6 + 449 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 800974880784 + 1211989617216 = 894972^2 + 1100904^2 .

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 95 ways as a sum of consecutive naturals, for example, 321710872 + ... + 321717128.

Almost surely, 2^{2012964498000} is an apocalyptic number.

2012964498000 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 2012964498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585702281616).

2012964498000 is an abundant number, since it is smaller than the sum of its proper divisors (5158440065232).

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

2012964498000 is a wasteful number, since it uses less digits than its factorization.

2012964498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2012964498000 in words is "two trillion, twelve billion, nine hundred sixty-four million, four hundred ninety-eight thousand".