2228783385600 has 528 divisors, whose sum is σ = 8406021876000. Its totient is φ = 578272296960.

The previous prime is 2228783385583. The next prime is 2228783385607. The reversal of 2228783385600 is 65833878222.

2228783385600 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 78 + 3 + 3 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2228783385607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25530826 + ... + 25617974.

Almost surely, 2^{2228783385600} is an apocalyptic number.

2228783385600 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 2228783385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203010938000).

2228783385600 is an abundant number, since it is smaller than the sum of its proper divisors (6177238490400).

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

2228783385600 is a wasteful number, since it uses less digits than its factorization.

2228783385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87225 (or 87196 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2228783385600 in words is "two trillion, two hundred twenty-eight billion, seven hundred eighty-three million, three hundred eighty-five thousand, six hundred".