2801848320 has 312 divisors, whose sum is σ = 10089477216. Its totient is φ = 745832448.

The previous prime is 2801848289. The next prime is 2801848327. The reversal of 2801848320 is 238481082.

It is a happy number.

2801848320 is a `hidden beast` number, since 280 + 18 + 48 + 320 = 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 (2801848327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976359 + ... + 4976921.

It is an arithmetic number, because the mean of its divisors is an integer number (32338068).

Almost surely, 2^2801848320 is an apocalyptic number.

2801848320 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 2801848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044738608).

2801848320 is an abundant number, since it is smaller than the sum of its proper divisors (7287628896).

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

2801848320 is an frugal number, since it uses more digits than its factorization.

2801848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2801848320 is about 52932.4883223904. The cubic root of 2801848320 is about 1409.7698130344.

The spelling of 2801848320 in words is "two billion, eight hundred one million, eight hundred forty-eight thousand, three hundred twenty".