2086968022272 has 540 divisors, whose sum is σ = 7251667051860. Its totient is φ = 595230031872.

The previous prime is 2086968022259. The next prime is 2086968022283. The reversal of 2086968022272 is 2722208696802.

2086968022272 is a `hidden beast` number, since 208 + 6 + 96 + 80 + 2 + 2 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 257073336576 + 1829894685696 = 507024^2 + 1352736^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 720387928 + ... + 720390824.

It is an arithmetic number, because the mean of its divisors is an integer number (13429013059).

Almost surely, 2^{2086968022272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086968022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625833525930).

2086968022272 is an abundant number, since it is smaller than the sum of its proper divisors (5164699029588).

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

2086968022272 is an equidigital number, since it uses as much as digits as its factorization.

2086968022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2086968022272 in words is "two trillion, eighty-six billion, nine hundred sixty-eight million, twenty-two thousand, two hundred seventy-two".