2112714141040 has 80 divisors (see below), whose sum is σ = 5082718747680. Its totient is φ = 815739724800.

The previous prime is 2112714141037. The next prime is 2112714141061. The reversal of 2112714141040 is 401414172112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2112714141040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9285922 + ... + 9510718.

It is an arithmetic number, because the mean of its divisors is an integer number (63533984346).

Almost surely, 2^{2112714141040} is an apocalyptic number.

2112714141040 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 2112714141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541359373840).

2112714141040 is an abundant number, since it is smaller than the sum of its proper divisors (2970004606640).

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

2112714141040 is a wasteful number, since it uses less digits than its factorization.

2112714141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228890 (or 228884 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 2112714141040 in words is "two trillion, one hundred twelve billion, seven hundred fourteen million, one hundred forty-one thousand, forty".