2117520000 has 480 divisors, whose sum is σ = 8108794980. Its totient is φ = 528384000.

The previous prime is 2117519959. The next prime is 2117520019. The reversal of 2117520000 is 257112.

It can be written as a sum of positive squares in 10 ways, for example, as 22810176 + 2094709824 = 4776^2 + 45768^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239914 + ... + 12240086.

Almost surely, 2^2117520000 is an apocalyptic number.

2117520000 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 2117520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054397490).

2117520000 is an abundant number, since it is smaller than the sum of its proper divisors (5991274980).

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

2117520000 is a wasteful number, since it uses less digits than its factorization.

2117520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2117520000 is about 46016.5187731536. The cubic root of 2117520000 is about 1284.1305367039.

Adding to 2117520000 its reverse (257112), we get a palindrome (2117777112).

The spelling of 2117520000 in words is "two billion, one hundred seventeen million, five hundred twenty thousand".