2900224800 has 324 divisors, whose sum is σ = 11244534210. Its totient is φ = 702873600.

The previous prime is 2900224799. The next prime is 2900224829. The reversal of 2900224800 is 84220092.

It can be written as a sum of positive squares in 3 ways, for example, as 2002383504 + 897841296 = 44748^2 + 29964^2 .

It is a super-2 number, since 2×2900224800² = 16822607781070080000, which contains 22 as substring.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 869536 + ... + 872864.

Almost surely, 2^2900224800 is an apocalyptic number.

2900224800 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 2900224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622267105).

2900224800 is an abundant number, since it is smaller than the sum of its proper divisors (8344309410).

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

2900224800 is a wasteful number, since it uses less digits than its factorization.

2900224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2900224800 is about 53853.7352464989. The cubic root of 2900224800 is about 1426.0799938340.

Adding to 2900224800 its reverse (84220092), we get a palindrome (2984444892).

The spelling of 2900224800 in words is "two billion, nine hundred million, two hundred twenty-four thousand, eight hundred".