2009610960 has 320 divisors, whose sum is σ = 7514947584. Its totient is φ = 434534400.

The previous prime is 2009610937. The next prime is 2009610989. The reversal of 2009610960 is 690169002.

It is a happy number.

It is a congruent 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, 2447350 + ... + 2448170.

Almost surely, 2^2009610960 is an apocalyptic number.

2009610960 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 2009610960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757473792).

2009610960 is an abundant number, since it is smaller than the sum of its proper divisors (5505336624).

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

2009610960 is a wasteful number, since it uses less digits than its factorization.

2009610960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2009610960 is about 44828.6845669154. The cubic root of 2009610960 is about 1261.9360008667.

Adding to 2009610960 its reverse (690169002), we get a palindrome (2699779962).

The spelling of 2009610960 in words is "two billion, nine million, six hundred ten thousand, nine hundred sixty".