2285753600 has 216 divisors, whose sum is σ = 6184833312. Its totient is φ = 831283200.

The previous prime is 2285753563. The next prime is 2285753629. The reversal of 2285753600 is 63575822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6905435 + ... + 6905765.

Almost surely, 2^2285753600 is an apocalyptic number.

2285753600 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 2285753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092416656).

2285753600 is an abundant number, since it is smaller than the sum of its proper divisors (3899079712).

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

2285753600 is a wasteful number, since it uses less digits than its factorization.

2285753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 2285753600 is about 47809.5555302494. Note that the first 4 decimals coincide. The cubic root of 2285753600 is about 1317.2750643071.

The spelling of 2285753600 in words is "two billion, two hundred eighty-five million, seven hundred fifty-three thousand, six hundred".