2801125800 has 360 divisors, whose sum is σ = 10701040350. Its totient is φ = 678585600.

The previous prime is 2801125757. The next prime is 2801125813. The reversal of 2801125800 is 85211082.

2801125800 is a `hidden beast` number, since 2 + 80 + 1 + 1 + 2 + 580 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1370924676 + 1430201124 = 37026^2 + 37818^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 89 ways as a sum of consecutive naturals, for example, 1959486 + ... + 1960914.

Almost surely, 2^2801125800 is an apocalyptic number.

2801125800 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 2801125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350520175).

2801125800 is an abundant number, since it is smaller than the sum of its proper divisors (7899914550).

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

2801125800 is a wasteful number, since it uses less digits than its factorization.

2801125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2801125800 is about 52925.6629623097. The cubic root of 2801125800 is about 1409.6486222660.

Adding to 2801125800 its reverse (85211082), we get a palindrome (2886336882).

The spelling of 2801125800 in words is "two billion, eight hundred one million, one hundred twenty-five thousand, eight hundred".