2298211200 has 288 divisors, whose sum is σ = 8262306000. Its totient is φ = 608256000.

The previous prime is 2298211183. The next prime is 2298211211. The reversal of 2298211200 is 21128922.

2298211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5731000 + ... + 5731400.

Almost surely, 2^2298211200 is an apocalyptic number.

2298211200 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 2298211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131153000).

2298211200 is an abundant number, since it is smaller than the sum of its proper divisors (5964094800).

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

2298211200 is a wasteful number, since it uses less digits than its factorization.

2298211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2298211200 is about 47939.6620764060. The cubic root of 2298211200 is about 1319.6638262372.

The spelling of 2298211200 in words is "two billion, two hundred ninety-eight million, two hundred eleven thousand, two hundred".