2900800 has 126 divisors (see below), whose sum is σ = 8527542. Its totient is φ = 967680.

The previous prime is 2900797. The next prime is 2900803. The reversal of 2900800 is 80092.

It is an interprime number because it is at equal distance from previous prime (2900797) and next prime (2900803).

It can be written as a sum of positive squares in 3 ways, for example, as 614656 + 2286144 = 784^2 + 1512^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78382 + ... + 78418.

2^2900800 is an apocalyptic number.

2900800 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 2900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263771).

2900800 is an abundant number, since it is smaller than the sum of its proper divisors (5626742).

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

2900800 is a wasteful number, since it uses less digits than its factorization.

2900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2900800 is about 1703.1735084835. The cubic root of 2900800 is about 142.6174265491.

Adding to 2900800 its reverse (80092), we get a palindrome (2980892).

The spelling of 2900800 in words is "two million, nine hundred thousand, eight hundred".