2285553600 has 504 divisors, whose sum is σ = 9079918848. Its totient is φ = 540518400.

The previous prime is 2285553583. The next prime is 2285553607. The reversal of 2285553600 is 63555822.

It is a happy number.

2285553600 is a `hidden beast` number, since 22 + 85 + 553 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285553607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7444647 + ... + 7444953.

It is an arithmetic number, because the mean of its divisors is an integer number (18015712).

Almost surely, 2^2285553600 is an apocalyptic number.

2285553600 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 2285553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539959424).

2285553600 is an abundant number, since it is smaller than the sum of its proper divisors (6794365248).

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

2285553600 is a wasteful number, since it uses less digits than its factorization.

2285553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2285553600 is about 47807.4638524153. The cubic root of 2285553600 is about 1317.2366433246.

The spelling of 2285553600 in words is "two billion, two hundred eighty-five million, five hundred fifty-three thousand, six hundred".