2112960368640 has 416 divisors, whose sum is σ = 7485490953216. Its totient is φ = 504576737280.

The previous prime is 2112960368611. The next prime is 2112960368663. The reversal of 2112960368640 is 468630692112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2112960368640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45257949 + ... + 45304611.

Almost surely, 2^{2112960368640} is an apocalyptic number.

2112960368640 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 2112960368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742745476608).

2112960368640 is an abundant number, since it is smaller than the sum of its proper divisors (5372530584576).

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

2112960368640 is a wasteful number, since it uses less digits than its factorization.

2112960368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46773 (or 46751 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 2112960368640 in words is "two trillion, one hundred twelve billion, nine hundred sixty million, three hundred sixty-eight thousand, six hundred forty".