2532142000 has 80 divisors (see below), whose sum is σ = 6320381184. Its totient is φ = 980160000.

The previous prime is 2532141979. The next prime is 2532142037. The reversal of 2532142000 is 2412352.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41580 + ... + 82420.

Almost surely, 2^2532142000 is an apocalyptic number.

2532142000 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 2532142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160190592).

2532142000 is an abundant number, since it is smaller than the sum of its proper divisors (3788239184).

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

2532142000 is a wasteful number, since it uses less digits than its factorization.

2532142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40895 (or 40879 counting only the distinct ones).

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

The square root of 2532142000 is about 50320.3934801786. The cubic root of 2532142000 is about 1363.0005119041. Note that the first 3 decimals are identical.

Adding to 2532142000 its reverse (2412352), we get a palindrome (2534554352).

The spelling of 2532142000 in words is "two billion, five hundred thirty-two million, one hundred forty-two thousand".