2288758048200 has 384 divisors, whose sum is σ = 8594758233600. Its totient is φ = 563385196800.

The previous prime is 2288758048133. The next prime is 2288758048207. The reversal of 2288758048200 is 28408578822.

2288758048200 is a `hidden beast` number, since 2 + 2 + 8 + 87 + 5 + 80 + 482 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (2288758048207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5484945 + ... + 5887455.

It is an arithmetic number, because the mean of its divisors is an integer number (22382182900).

Almost surely, 2^{2288758048200} is an apocalyptic number.

2288758048200 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 2288758048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297379116800).

2288758048200 is an abundant number, since it is smaller than the sum of its proper divisors (6306000185400).

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

2288758048200 is a wasteful number, since it uses less digits than its factorization.

2288758048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402561 (or 402534 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 2288758048200 in words is "two trillion, two hundred eighty-eight billion, seven hundred fifty-eight million, forty-eight thousand, two hundred".