2186240868000 has 2304 divisors, whose sum is σ = 9995862868992. Its totient is φ = 457850880000.

The previous prime is 2186240867957. The next prime is 2186240868011. The reversal of 2186240868000 is 8680426812.

2186240868000 is a `hidden beast` number, since 2 + 18 + 624 + 0 + 8 + 6 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×2186240868000³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4742387770 + ... + 4742388230.

It is an arithmetic number, because the mean of its divisors is an integer number (4338482148).

Almost surely, 2^{2186240868000} is an apocalyptic number.

2186240868000 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 2186240868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997931434496).

2186240868000 is an abundant number, since it is smaller than the sum of its proper divisors (7809622000992).

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

2186240868000 is a wasteful number, since it uses less digits than its factorization.

2186240868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2186240868000 in words is "two trillion, one hundred eighty-six billion, two hundred forty million, eight hundred sixty-eight thousand".