2117310532800 has 336 divisors, whose sum is σ = 7479843937920. Its totient is φ = 522395402240.

The previous prime is 2117310532723. The next prime is 2117310532823. The reversal of 2117310532800 is 82350137112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4594507 + ... + 5034293.

Almost surely, 2^{2117310532800} is an apocalyptic number.

2117310532800 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 2117310532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739921968960).

2117310532800 is an abundant number, since it is smaller than the sum of its proper divisors (5362533405120).

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

2117310532800 is a wasteful number, since it uses less digits than its factorization.

2117310532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439888 (or 439873 counting only the distinct ones).

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

Adding to 2117310532800 its reverse (82350137112), we get a palindrome (2199660669912).

The spelling of 2117310532800 in words is "two trillion, one hundred seventeen billion, three hundred ten million, five hundred thirty-two thousand, eight hundred".