2428289035200 has 504 divisors, whose sum is σ = 9982545326208. Its totient is φ = 548348405760.

The previous prime is 2428289035199. The next prime is 2428289035223. The reversal of 2428289035200 is 25309828242.

2428289035200 is a `hidden beast` number, since 2 + 42 + 8 + 2 + 89 + 0 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8221279 + ... + 8511521.

It is an arithmetic number, because the mean of its divisors is an integer number (19806637552).

Almost surely, 2^{2428289035200} is an apocalyptic number.

2428289035200 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 2428289035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991272663104).

2428289035200 is an abundant number, since it is smaller than the sum of its proper divisors (7554256291008).

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

2428289035200 is a wasteful number, since it uses less digits than its factorization.

2428289035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290361 (or 290343 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2428289035200 in words is "two trillion, four hundred twenty-eight billion, two hundred eighty-nine million, thirty-five thousand, two hundred".