2801523072 has 128 divisors (see below), whose sum is σ = 7735680000. Its totient is φ = 897361920.

The previous prime is 2801523061. The next prime is 2801523091. The reversal of 2801523072 is 2703251082.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868179 + ... + 1869677.

It is an arithmetic number, because the mean of its divisors is an integer number (60435000).

Almost surely, 2^2801523072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867840000).

2801523072 is an abundant number, since it is smaller than the sum of its proper divisors (4934156928).

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

2801523072 is a wasteful number, since it uses less digits than its factorization.

2801523072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2801523072 is about 52929.4159423661. The cubic root of 2801523072 is about 1409.7152606458.

The spelling of 2801523072 in words is "two billion, eight hundred one million, five hundred twenty-three thousand, seventy-two".