2009117880 has 384 divisors, whose sum is σ = 8221824000. Its totient is φ = 416782080.

The previous prime is 2009117879. The next prime is 2009117881. The reversal of 2009117880 is 887119002.

It is an interprime number because it is at equal distance from previous prime (2009117879) and next prime (2009117881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009117881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3353821 + ... + 3354419.

It is an arithmetic number, because the mean of its divisors is an integer number (21411000).

Almost surely, 2^2009117880 is an apocalyptic number.

2009117880 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 2009117880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110912000).

2009117880 is an abundant number, since it is smaller than the sum of its proper divisors (6212706120).

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

2009117880 is a wasteful number, since it uses less digits than its factorization.

2009117880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 2009117880 is about 44823.1846258161. The cubic root of 2009117880 is about 1261.8327824971.

The spelling of 2009117880 in words is "two billion, nine million, one hundred seventeen thousand, eight hundred eighty".