2791825920 has 480 divisors, whose sum is σ = 10783238400. Its totient is φ = 684343296.

The previous prime is 2791825913. The next prime is 2791825921. The reversal of 2791825920 is 295281972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 (2791825921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681161 + ... + 11681399.

It is an arithmetic number, because the mean of its divisors is an integer number (22465080).

Almost surely, 2^2791825920 is an apocalyptic number.

2791825920 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 2791825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391619200).

2791825920 is an abundant number, since it is smaller than the sum of its proper divisors (7991412480).

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

2791825920 is a wasteful number, since it uses less digits than its factorization.

2791825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2791825920 is about 52837.7319725213. The cubic root of 2791825920 is about 1408.0868575894.

The spelling of 2791825920 in words is "two billion, seven hundred ninety-one million, eight hundred twenty-five thousand, nine hundred twenty".