2542432023120 has 160 divisors (see below), whose sum is σ = 8615997112320. Its totient is φ = 615060113920.

The previous prime is 2542432023067. The next prime is 2542432023121. The reversal of 2542432023120 is 213202342452.

2542432023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542432023121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259297 + ... + 2269823.

It is an arithmetic number, because the mean of its divisors is an integer number (53849981952).

Almost surely, 2^{2542432023120} is an apocalyptic number.

2542432023120 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 2542432023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307998556160).

2542432023120 is an abundant number, since it is smaller than the sum of its proper divisors (6073565089200).

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

2542432023120 is a wasteful number, since it uses less digits than its factorization.

2542432023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011033 (or 2011027 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2542432023120 its reverse (213202342452), we get a palindrome (2755634365572).

The spelling of 2542432023120 in words is "two trillion, five hundred forty-two billion, four hundred thirty-two million, twenty-three thousand, one hundred twenty".