2112413219280 has 1280 divisors, whose sum is σ = 9469660569600. Its totient is φ = 420307107840.

The previous prime is 2112413219221. The next prime is 2112413219291. The reversal of 2112413219280 is 829123142112.

It is a happy number.

2112413219280 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 413 + 219 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 900047067 + ... + 900049413.

It is an arithmetic number, because the mean of its divisors is an integer number (7398172320).

Almost surely, 2^{2112413219280} is an apocalyptic number.

2112413219280 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 2112413219280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734830284800).

2112413219280 is an abundant number, since it is smaller than the sum of its proper divisors (7357247350320).

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

2112413219280 is a wasteful number, since it uses less digits than its factorization.

2112413219280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2112413219280 in words is "two trillion, one hundred twelve billion, four hundred thirteen million, two hundred nineteen thousand, two hundred eighty".