2186218045440 has 1288 divisors, whose sum is σ = 9242097430608. Its totient is φ = 489223618560.

The previous prime is 2186218045439. The next prime is 2186218045469. The reversal of 2186218045440 is 445408126812.

2186218045440 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 21 + 80 + 4 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 168170618874 + ... + 168170618886.

Almost surely, 2^{2186218045440} is an apocalyptic number.

2186218045440 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 2186218045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621048715304).

2186218045440 is an abundant number, since it is smaller than the sum of its proper divisors (7055879385168).

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

2186218045440 is an frugal number, since it uses more digits than its factorization.

2186218045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2186218045440 in words is "two trillion, one hundred eighty-six billion, two hundred eighteen million, forty-five thousand, four hundred forty".