2801399328 has 288 divisors, whose sum is σ = 9888278400. Its totient is φ = 732561408.

The previous prime is 2801399291. The next prime is 2801399411. The reversal of 2801399328 is 8239931082.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3642528 + ... + 3643296.

It is an arithmetic number, because the mean of its divisors is an integer number (34334300).

Almost surely, 2^2801399328 is an apocalyptic number.

2801399328 is a gapful number since it is divisible by the number (28) 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 2801399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944139200).

2801399328 is an abundant number, since it is smaller than the sum of its proper divisors (7086879072).

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

2801399328 is a wasteful number, since it uses less digits than its factorization.

2801399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2801399328 is about 52928.2469764492. The cubic root of 2801399328 is about 1409.6945045107.

The spelling of 2801399328 in words is "two billion, eight hundred one million, three hundred ninety-nine thousand, three hundred twenty-eight".