2117081300400 has 720 divisors, whose sum is σ = 8449865424000. Its totient is φ = 485454643200.

The previous prime is 2117081300393. The next prime is 2117081300437. The reversal of 2117081300400 is 40031807112.

2117081300400 is a `hidden beast` number, since 211 + 70 + 81 + 300 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 578593771 + ... + 578597429.

It is an arithmetic number, because the mean of its divisors is an integer number (11735924200).

Almost surely, 2^{2117081300400} is an apocalyptic number.

2117081300400 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 2117081300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224932712000).

2117081300400 is an abundant number, since it is smaller than the sum of its proper divisors (6332784123600).

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

2117081300400 is a wasteful number, since it uses less digits than its factorization.

2117081300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 2117081300400 in words is "two trillion, one hundred seventeen billion, eighty-one million, three hundred thousand, four hundred".