2112317734560 has 576 divisors, whose sum is σ = 7564555837440. Its totient is φ = 494578022400.

The previous prime is 2112317734531. The next prime is 2112317734607. The reversal of 2112317734560 is 654377132112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337755851 + ... + 1337757429.

It is an arithmetic number, because the mean of its divisors is an integer number (13132909440).

Almost surely, 2^{2112317734560} is an apocalyptic number.

2112317734560 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 2112317734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782277918720).

2112317734560 is an abundant number, since it is smaller than the sum of its proper divisors (5452238102880).

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

2112317734560 is a wasteful number, since it uses less digits than its factorization.

2112317734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 2112317734560 in words is "two trillion, one hundred twelve billion, three hundred seventeen million, seven hundred thirty-four thousand, five hundred sixty".