2117417490 has 256 divisors, whose sum is σ = 6449725440. Its totient is φ = 491166720.

The previous prime is 2117417479. The next prime is 2117417503. The reversal of 2117417490 is 947147112.

2117417490 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3272347 + ... + 3272993.

It is an arithmetic number, because the mean of its divisors is an integer number (25194240).

Almost surely, 2^2117417490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117417490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224862720).

2117417490 is an abundant number, since it is smaller than the sum of its proper divisors (4332307950).

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

2117417490 is a wasteful number, since it uses less digits than its factorization.

2117417490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2117417490 is about 46015.4049205263. The cubic root of 2117417490 is about 1284.1098146099.

The spelling of 2117417490 in words is "two billion, one hundred seventeen million, four hundred seventeen thousand, four hundred ninety".