2542413120 has 224 divisors, whose sum is σ = 8762439168. Its totient is φ = 620838912.

The previous prime is 2542413113. The next prime is 2542413131. The reversal of 2542413120 is 213142452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709017 + ... + 1710503.

It is an arithmetic number, because the mean of its divisors is an integer number (39118032).

Almost surely, 2^2542413120 is an apocalyptic number.

2542413120 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 2542413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381219584).

2542413120 is an abundant number, since it is smaller than the sum of its proper divisors (6220026048).

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

2542413120 is a wasteful number, since it uses less digits than its factorization.

2542413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2542413120 is about 50422.3474265132. The cubic root of 2542413120 is about 1364.8409373348.

Adding to 2542413120 its reverse (213142452), we get a palindrome (2755555572).

The spelling of 2542413120 in words is "two billion, five hundred forty-two million, four hundred thirteen thousand, one hundred twenty".