2112969493440 has 336 divisors, whose sum is σ = 8079272737536. Its totient is φ = 503337369600.

The previous prime is 2112969493421. The next prime is 2112969493477. The reversal of 2112969493440 is 443949692112.

2112969493440 is a `hidden beast` number, since 2 + 1 + 1 + 29 + 6 + 94 + 93 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250380 + ... + 2070900.

It is an arithmetic number, because the mean of its divisors is an integer number (24045454576).

Almost surely, 2^{2112969493440} is an apocalyptic number.

2112969493440 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 2112969493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039636368768).

2112969493440 is an abundant number, since it is smaller than the sum of its proper divisors (5966303244096).

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

2112969493440 is a wasteful number, since it uses less digits than its factorization.

2112969493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820588 (or 1820575 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2112969493440 in words is "two trillion, one hundred twelve billion, nine hundred sixty-nine million, four hundred ninety-three thousand, four hundred forty".