2117030400 has 720 divisors, whose sum is σ = 8548809984. Its totient is φ = 497418240.

The previous prime is 2117030371. The next prime is 2117030401. The reversal of 2117030400 is 40307112.

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

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

It is not an unprimeable number, because it can be changed into a prime (2117030401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45043177 + ... + 45043223.

Almost surely, 2^2117030400 is an apocalyptic number.

2117030400 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 2117030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274404992).

2117030400 is an abundant number, since it is smaller than the sum of its proper divisors (6431779584).

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

2117030400 is a wasteful number, since it uses less digits than its factorization.

2117030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2117030400 is about 46011.1986368536. The cubic root of 2117030400 is about 1284.0315594770.

Adding to 2117030400 its reverse (40307112), we get a palindrome (2157337512).

The spelling of 2117030400 in words is "two billion, one hundred seventeen million, thirty thousand, four hundred".