2801185920 has 192 divisors, whose sum is σ = 10417188600. Its totient is φ = 689504256.

The previous prime is 2801185883. The next prime is 2801185921. The reversal of 2801185920 is 295811082.

It can be written as a sum of positive squares in 4 ways, for example, as 844716096 + 1956469824 = 29064^2 + 44232^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (2801185921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56176 + ... + 93584.

Almost surely, 2^2801185920 is an apocalyptic number.

2801185920 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 2801185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208594300).

2801185920 is an abundant number, since it is smaller than the sum of its proper divisors (7616002680).

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

2801185920 is a wasteful number, since it uses less digits than its factorization.

2801185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37447 (or 37432 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2801185920 is about 52926.2309256951. The cubic root of 2801185920 is about 1409.6587071955.

The spelling of 2801185920 in words is "two billion, eight hundred one million, one hundred eighty-five thousand, nine hundred twenty".