2542532000 has 96 divisors (see below), whose sum is σ = 6264760320. Its totient is φ = 1014124800.

The previous prime is 2542531973. The next prime is 2542532021. The reversal of 2542532000 is 2352452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915337 + ... + 1916663.

It is an arithmetic number, because the mean of its divisors is an integer number (65257920).

Almost surely, 2^2542532000 is an apocalyptic number.

2542532000 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 2542532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132380160).

2542532000 is an abundant number, since it is smaller than the sum of its proper divisors (3722228320).

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

2542532000 is a wasteful number, since it uses less digits than its factorization.

2542532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2542532000 is about 50423.5262551123. The cubic root of 2542532000 is about 1364.8622097446.

Adding to 2542532000 its reverse (2352452), we get a palindrome (2544884452).

The spelling of 2542532000 in words is "two billion, five hundred forty-two million, five hundred thirty-two thousand".