2086734705120 has 384 divisors, whose sum is σ = 7874211502080. Its totient is φ = 513081354240.

The previous prime is 2086734705113. The next prime is 2086734705149. The reversal of 2086734705120 is 215074376802.

2086734705120 is a `hidden beast` number, since 2 + 0 + 8 + 67 + 3 + 4 + 70 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51141367 + ... + 51182153.

It is an arithmetic number, because the mean of its divisors is an integer number (20505759120).

Almost surely, 2^{2086734705120} is an apocalyptic number.

2086734705120 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 2086734705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937105751040).

2086734705120 is an abundant number, since it is smaller than the sum of its proper divisors (5787476796960).

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

2086734705120 is a wasteful number, since it uses less digits than its factorization.

2086734705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735 (or 41721 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2086734705120 in words is "two trillion, eighty-six billion, seven hundred thirty-four million, seven hundred five thousand, one hundred twenty".