2102273184000 has 1152 divisors, whose sum is σ = 7934356684800. Its totient is φ = 488755200000.

The previous prime is 2102273183977. The next prime is 2102273184019. The reversal of 2102273184000 is 4813722012.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 4877663785 + ... + 4877664215.

It is an arithmetic number, because the mean of its divisors is an integer number (6887462400).

Almost surely, 2^{2102273184000} is an apocalyptic number.

2102273184000 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 2102273184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967178342400).

2102273184000 is an abundant number, since it is smaller than the sum of its proper divisors (5832083500800).

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

2102273184000 is a wasteful number, since it uses less digits than its factorization.

2102273184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 2102273184000 in words is "two trillion, one hundred two billion, two hundred seventy-three million, one hundred eighty-four thousand".