2534112000 has 576 divisors, whose sum is σ = 10713830400. Its totient is φ = 577843200.

The previous prime is 2534111971. The next prime is 2534112043. The reversal of 2534112000 is 2114352.

2534112000 is a `hidden beast` number, since 2 + 53 + 411 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×2534112000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047791 + ... + 6048209.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

Almost surely, 2^2534112000 is an apocalyptic number.

2534112000 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 2534112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356915200).

2534112000 is an abundant number, since it is smaller than the sum of its proper divisors (8179718400).

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

2534112000 is an equidigital number, since it uses as much as digits as its factorization.

2534112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2534112000 is about 50339.9642431339. The cubic root of 2534112000 is about 1363.3538905815.

Adding to 2534112000 its reverse (2114352), we get a palindrome (2536226352).

The spelling of 2534112000 in words is "two billion, five hundred thirty-four million, one hundred twelve thousand".