2185137600000 has 240 divisors, whose sum is σ = 7276229197776. Its totient is φ = 582702080000.

The previous prime is 2185137599959. The next prime is 2185137600017. The reversal of 2185137600000 is 67315812.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4572382 + ... + 5027618.

Almost surely, 2^{2185137600000} is an apocalyptic number.

2185137600000 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 2185137600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638114598888).

2185137600000 is an abundant number, since it is smaller than the sum of its proper divisors (5091091597776).

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

2185137600000 is an frugal number, since it uses more digits than its factorization.

2185137600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455283 (or 455247 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 2185137600000 in words is "two trillion, one hundred eighty-five billion, one hundred thirty-seven million, six hundred thousand".