2182135334400 has 2880 divisors, whose sum is σ = 9893822754816. Its totient is φ = 465813504000.

The previous prime is 2182135334371. The next prime is 2182135334443. The reversal of 2182135334400 is 44335312812.

2182135334400 is a `hidden beast` number, since 2 + 1 + 8 + 213 + 5 + 3 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 35772710370 + ... + 35772710430.

Almost surely, 2^{2182135334400} is an apocalyptic number.

2182135334400 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 2182135334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946911377408).

2182135334400 is an abundant number, since it is smaller than the sum of its proper divisors (7711687420416).

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

2182135334400 is an equidigital number, since it uses as much as digits as its factorization.

2182135334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2182135334400 in words is "two trillion, one hundred eighty-two billion, one hundred thirty-five million, three hundred thirty-four thousand, four hundred".