2082212334720 has 2304 divisors, whose sum is σ = 9302390697600. Its totient is φ = 442451165184.

The previous prime is 2082212334689. The next prime is 2082212334743. The reversal of 2082212334720 is 274332122802.

2082212334720 is a `hidden beast` number, since 2 + 0 + 82 + 212 + 3 + 347 + 20 = 666.

It is a super-2 number, since 2×2082212334720² (a number of 25 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 10569605662 + ... + 10569605858.

Almost surely, 2^{2082212334720} is an apocalyptic number.

2082212334720 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 2082212334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651195348800).

2082212334720 is an abundant number, since it is smaller than the sum of its proper divisors (7220178362880).

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

2082212334720 is a wasteful number, since it uses less digits than its factorization.

2082212334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2082212334720 in words is "two trillion, eighty-two billion, two hundred twelve million, three hundred thirty-four thousand, seven hundred twenty".