2117330400 has 144 divisors (see below), whose sum is σ = 6908557824. Its totient is φ = 563258880.

The previous prime is 2117330377. The next prime is 2117330407. The reversal of 2117330400 is 40337112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117330407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350417 + ... + 1351983.

It is an arithmetic number, because the mean of its divisors is an integer number (47976096).

Almost surely, 2^2117330400 is an apocalyptic number.

2117330400 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 2117330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454278912).

2117330400 is an abundant number, since it is smaller than the sum of its proper divisors (4791227424).

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

2117330400 is a wasteful number, since it uses less digits than its factorization.

2117330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2117330400 is about 46014.4585972714. The cubic root of 2117330400 is about 1284.0922090979.

Adding to 2117330400 its reverse (40337112), we get a palindrome (2157667512).

The spelling of 2117330400 in words is "two billion, one hundred seventeen million, three hundred thirty thousand, four hundred".