2428538112000 has 4032 divisors, whose sum is σ = 12266509207680. Its totient is φ = 465813504000.

The previous prime is 2428538111963. The next prime is 2428538112019. The reversal of 2428538112000 is 2118358242.

It is a happy number.

2428538112000 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 538 + 112 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×2428538112000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 186810623994 + ... + 186810624006.

It is an arithmetic number, because the mean of its divisors is an integer number (3042288990).

Almost surely, 2^{2428538112000} is an apocalyptic number.

2428538112000 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 2428538112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133254603840).

2428538112000 is an abundant number, since it is smaller than the sum of its proper divisors (9837971095680).

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

2428538112000 is an equidigital number, since it uses as much as digits as its factorization.

2428538112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2428538112000 in words is "two trillion, four hundred twenty-eight billion, five hundred thirty-eight million, one hundred twelve thousand".