2801973760 has 80 divisors (see below), whose sum is σ = 6799627296. Its totient is φ = 1107202048.

The previous prime is 2801973751. The next prime is 2801973773. The reversal of 2801973760 is 673791082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 205887 + ... + 219073.

Almost surely, 2^2801973760 is an apocalyptic number.

2801973760 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 2801973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399813648).

2801973760 is an abundant number, since it is smaller than the sum of its proper divisors (3997653536).

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

2801973760 is an equidigital number, since it uses as much as digits as its factorization.

2801973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 2801973760 is about 52933.6732146939. The cubic root of 2801973760 is about 1409.7908513951.

The spelling of 2801973760 in words is "two billion, eight hundred one million, nine hundred seventy-three thousand, seven hundred sixty".