2112542208 has 400 divisors, whose sum is σ = 7605227520. Its totient is φ = 570322944.

The previous prime is 2112542183. The next prime is 2112542209. The reversal of 2112542208 is 8022452112.

2112542208 is a `hidden beast` number, since 2 + 112 + 542 + 2 + 0 + 8 = 666.

2112542208 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112542209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5515585 + ... + 5515967.

Almost surely, 2^2112542208 is an apocalyptic number.

2112542208 is a gapful number since it is divisible by the number (28) 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 2112542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802613760).

2112542208 is an abundant number, since it is smaller than the sum of its proper divisors (5492685312).

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

2112542208 is an equidigital number, since it uses as much as digits as its factorization.

2112542208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2112542208 is about 45962.3999373401. The cubic root of 2112542208 is about 1283.1235174760.

The spelling of 2112542208 in words is "two billion, one hundred twelve million, five hundred forty-two thousand, two hundred eight".