2117427200 has 252 divisors, whose sum is σ = 6137137332. Its totient is φ = 722534400.

The previous prime is 2117427161. The next prime is 2117427211. The reversal of 2117427200 is 27247112.

It is a self number, because there is not a number n which added to its sum of digits gives 2117427200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10035095 + ... + 10035305.

Almost surely, 2^2117427200 is an apocalyptic number.

2117427200 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 2117427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068568666).

2117427200 is an abundant number, since it is smaller than the sum of its proper divisors (4019710132).

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

2117427200 is an equidigital number, since it uses as much as digits as its factorization.

2117427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 2117427200 is about 46015.5104285501. The cubic root of 2117427200 is about 1284.1117774864. Note that the first 3 decimals are identical.

The spelling of 2117427200 in words is "two billion, one hundred seventeen million, four hundred twenty-seven thousand, two hundred".