1950117090 has 128 divisors (see below), whose sum is σ = 5060309760. Its totient is φ = 480896000.

The previous prime is 1950117061. The next prime is 1950117157. The reversal of 1950117090 is 907110591.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14886325 + ... + 14886455.

It is an arithmetic number, because the mean of its divisors is an integer number (39533670).

Almost surely, 2^1950117090 is an apocalyptic number.

1950117090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950117090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530154880).

1950117090 is an abundant number, since it is smaller than the sum of its proper divisors (3110192670).

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

1950117090 is a wasteful number, since it uses less digits than its factorization.

1950117090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 33.

The square root of 1950117090 is about 44160.1300949171. The cubic root of 1950117090 is about 1249.3579828410.

The spelling of 1950117090 in words is "one billion, nine hundred fifty million, one hundred seventeen thousand, ninety".