2185266343680 has 1296 divisors, whose sum is σ = 9718450507584. Its totient is φ = 449622835200.

The previous prime is 2185266343651. The next prime is 2185266343693. The reversal of 2185266343680 is 863436625812.

2185266343680 is a `hidden beast` number, since 2 + 1 + 8 + 526 + 6 + 3 + 4 + 36 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220706730 + ... + 220716630.

It is an arithmetic number, because the mean of its divisors is an integer number (7498804404).

Almost surely, 2^{2185266343680} is an apocalyptic number.

2185266343680 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 2185266343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859225253792).

2185266343680 is an abundant number, since it is smaller than the sum of its proper divisors (7533184163904).

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

2185266343680 is a wasteful number, since it uses less digits than its factorization.

2185266343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2185266343680 in words is "two trillion, one hundred eighty-five billion, two hundred sixty-six million, three hundred forty-three thousand, six hundred eighty".