2801460320 has 192 divisors, whose sum is σ = 7384608000. Its totient is φ = 999806976.

The previous prime is 2801460307. The next prime is 2801460353. The reversal of 2801460320 is 230641082.

2801460320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2801460320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3790511 + ... + 3791249.

It is an arithmetic number, because the mean of its divisors is an integer number (38461500).

Almost surely, 2^2801460320 is an apocalyptic number.

2801460320 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 2801460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692304000).

2801460320 is an abundant number, since it is smaller than the sum of its proper divisors (4583147680).

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

2801460320 is a wasteful number, since it uses less digits than its factorization.

2801460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2801460320 is about 52928.8231495846. The cubic root of 2801460320 is about 1409.7047350483.

The spelling of 2801460320 in words is "two billion, eight hundred one million, four hundred sixty thousand, three hundred twenty".