2809038960 has 640 divisors, whose sum is σ = 12319211520. Its totient is φ = 572313600.

The previous prime is 2809038949. The next prime is 2809038961. The reversal of 2809038960 is 698309082.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809038961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6093130 + ... + 6093590.

It is an arithmetic number, because the mean of its divisors is an integer number (19248768).

Almost surely, 2^2809038960 is an apocalyptic number.

2809038960 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 2809038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159605760).

2809038960 is an abundant number, since it is smaller than the sum of its proper divisors (9510172560).

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

2809038960 is a wasteful number, since it uses less digits than its factorization.

2809038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2809038960 is about 53000.3675458954. The cubic root of 2809038960 is about 1410.9747899439.

The spelling of 2809038960 in words is "two billion, eight hundred nine million, thirty-eight thousand, nine hundred sixty".