2542430000 has 200 divisors, whose sum is σ = 6955336080. Its totient is φ = 891520000.

The previous prime is 2542429999. The next prime is 2542430027. The reversal of 2542430000 is 342452.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3189602 + ... + 3190398.

Almost surely, 2^2542430000 is an apocalyptic number.

2542430000 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 2542430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477668040).

2542430000 is an abundant number, since it is smaller than the sum of its proper divisors (4412906080).

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

2542430000 is a wasteful number, since it uses less digits than its factorization.

2542430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2542430000 is about 50422.5148123336. The cubic root of 2542430000 is about 1364.8439578856.

Adding to 2542430000 its reverse (342452), we get a palindrome (2542772452).

The spelling of 2542430000 in words is "two billion, five hundred forty-two million, four hundred thirty thousand".