2801541120 has 224 divisors, whose sum is σ = 10248156288. Its totient is φ = 640155648.

The previous prime is 2801541097. The next prime is 2801541209. The reversal of 2801541120 is 211451082.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858532 + ... + 861788.

Almost surely, 2^2801541120 is an apocalyptic number.

2801541120 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 2801541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124078144).

2801541120 is an abundant number, since it is smaller than the sum of its proper divisors (7446615168).

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

2801541120 is an equidigital number, since it uses as much as digits as its factorization.

2801541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2801541120 is about 52929.5864332983. The cubic root of 2801541120 is about 1409.7182878665.

The spelling of 2801541120 in words is "two billion, eight hundred one million, five hundred forty-one thousand, one hundred twenty".