2012180970240 has 1728 divisors, whose sum is σ = 8647111912320. Its totient is φ = 441447874560.

The previous prime is 2012180970193. The next prime is 2012180970253. The reversal of 2012180970240 is 420790812102.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2012180970195 and 2012180970204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5068465722 + ... + 5068466118.

It is an arithmetic number, because the mean of its divisors is an integer number (5004115690).

Almost surely, 2^{2012180970240} is an apocalyptic number.

2012180970240 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 2012180970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323555956160).

2012180970240 is an abundant number, since it is smaller than the sum of its proper divisors (6634930942080).

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

2012180970240 is a wasteful number, since it uses less digits than its factorization.

2012180970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2012180970240 in words is "two trillion, twelve billion, one hundred eighty million, nine hundred seventy thousand, two hundred forty".