2801295360 has 448 divisors, whose sum is σ = 10616184000. Its totient is φ = 698351616.

The previous prime is 2801295353. The next prime is 2801295361. The reversal of 2801295360 is 635921082.

2801295360 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 295 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801295361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18800566 + ... + 18800714.

Almost surely, 2^2801295360 is an apocalyptic number.

2801295360 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 2801295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308092000).

2801295360 is an abundant number, since it is smaller than the sum of its proper divisors (7814888640).

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

2801295360 is a wasteful number, since it uses less digits than its factorization.

2801295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2801295360 is about 52927.2648074695. The cubic root of 2801295360 is about 1409.6770650201.

The spelling of 2801295360 in words is "two billion, eight hundred one million, two hundred ninety-five thousand, three hundred sixty".