2009160720 has 480 divisors, whose sum is σ = 8264471040. Its totient is φ = 447068160.

The previous prime is 2009160697. The next prime is 2009160733. The reversal of 2009160720 is 270619002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4339209 + ... + 4339671.

It is an arithmetic number, because the mean of its divisors is an integer number (17217648).

Almost surely, 2^2009160720 is an apocalyptic number.

2009160720 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 2009160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132235520).

2009160720 is an abundant number, since it is smaller than the sum of its proper divisors (6255310320).

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

2009160720 is a wasteful number, since it uses less digits than its factorization.

2009160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2009160720 is about 44823.6625009604. The cubic root of 2009160720 is about 1261.8417510321.

Adding to 2009160720 its reverse (270619002), we get a palindrome (2279779722).

The spelling of 2009160720 in words is "two billion, nine million, one hundred sixty thousand, seven hundred twenty".