2801479040 has 128 divisors (see below), whose sum is σ = 6891609600. Its totient is φ = 1088575488.

The previous prime is 2801479033. The next prime is 2801479049. The reversal of 2801479040 is 409741082.

2801479040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 52929²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801479049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3387107 + ... + 3387933.

It is an arithmetic number, because the mean of its divisors is an integer number (53840700).

Almost surely, 2^2801479040 is an apocalyptic number.

2801479040 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 2801479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445804800).

2801479040 is an abundant number, since it is smaller than the sum of its proper divisors (4090130560).

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

2801479040 is an equidigital number, since it uses as much as digits as its factorization.

2801479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2801479040 is about 52928.9999905534. Note that the first 5 decimals coincide. The cubic root of 2801479040 is about 1409.7078750313.

The spelling of 2801479040 in words is "two billion, eight hundred one million, four hundred seventy-nine thousand, forty".