2186642346000 has 480 divisors, whose sum is σ = 8216308444032. Its totient is φ = 498853555200.

The previous prime is 2186642345969. The next prime is 2186642346017. The reversal of 2186642346000 is 6432466812.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160811202 + ... + 160824798.

Almost surely, 2^{2186642346000} is an apocalyptic number.

2186642346000 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 2186642346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108154222016).

2186642346000 is an abundant number, since it is smaller than the sum of its proper divisors (6029666098032).

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

2186642346000 is a wasteful number, since it uses less digits than its factorization.

2186642346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 2186642346000 in words is "two trillion, one hundred eighty-six billion, six hundred forty-two million, three hundred forty-six thousand".