2534212000 has 96 divisors (see below), whose sum is σ = 6288033024. Its totient is φ = 1003680000.

The previous prime is 2534211997. The next prime is 2534212003. The reversal of 2534212000 is 2124352.

It is an interprime number because it is at equal distance from previous prime (2534211997) and next prime (2534212003).

It is not an unprimeable number, because it can be changed into a prime (2534212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408925 + ... + 415075.

It is an arithmetic number, because the mean of its divisors is an integer number (65500344).

Almost surely, 2^2534212000 is an apocalyptic number.

2534212000 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 2534212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144016512).

2534212000 is an abundant number, since it is smaller than the sum of its proper divisors (3753821024).

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

2534212000 is a wasteful number, since it uses less digits than its factorization.

2534212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2534212000 is about 50340.9574799685. The cubic root of 2534212000 is about 1363.3718237005.

Adding to 2534212000 its reverse (2124352), we get a palindrome (2536336352).

It can be divided in two parts, 253 and 4212000, that added together give a triangular number (4212253 = T₂₉₀₂).

The spelling of 2534212000 in words is "two billion, five hundred thirty-four million, two hundred twelve thousand".