2164904118000 has 1280 divisors, whose sum is σ = 9174812774400. Its totient is φ = 482833612800.

The previous prime is 2164904117989. The next prime is 2164904118043. The reversal of 2164904118000 is 8114094612.

2164904118000 is a `hidden beast` number, since 2 + 1 + 649 + 0 + 4 + 1 + 1 + 8 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 306770472 + ... + 306777528.

It is an arithmetic number, because the mean of its divisors is an integer number (7167822480).

Almost surely, 2^{2164904118000} is an apocalyptic number.

2164904118000 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 2164904118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587406387200).

2164904118000 is an abundant number, since it is smaller than the sum of its proper divisors (7009908656400).

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

2164904118000 is a wasteful number, since it uses less digits than its factorization.

2164904118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2164904118000 in words is "two trillion, one hundred sixty-four billion, nine hundred four million, one hundred eighteen thousand".