2290255200 has 324 divisors, whose sum is σ = 8370143964. Its totient is φ = 589248000.

The previous prime is 2290255183. The next prime is 2290255223. The reversal of 2290255200 is 25520922.

2290255200 is a `hidden beast` number, since 22 + 90 + 2 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×2290255200² = 10490537762254080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6919035 + ... + 6919365.

Almost surely, 2^2290255200 is an apocalyptic number.

2290255200 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 2290255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185071982).

2290255200 is an abundant number, since it is smaller than the sum of its proper divisors (6079888764).

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

2290255200 is a wasteful number, since it uses less digits than its factorization.

2290255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2290255200 is about 47856.6108285992. The cubic root of 2290255200 is about 1318.1392514918.

The spelling of 2290255200 in words is "two billion, two hundred ninety million, two hundred fifty-five thousand, two hundred".