2542242144 has 96 divisors (see below), whose sum is σ = 7239667680. Its totient is φ = 776466432.

The previous prime is 2542242121. The next prime is 2542242179. The reversal of 2542242144 is 4412422452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 163542 + ... + 178410.

It is an arithmetic number, because the mean of its divisors is an integer number (75413205).

Almost surely, 2^2542242144 is an apocalyptic number.

2542242144 is a gapful number since it is divisible by the number (24) 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 2542242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619833840).

2542242144 is an abundant number, since it is smaller than the sum of its proper divisors (4697425536).

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

2542242144 is a wasteful number, since it uses less digits than its factorization.

2542242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15032 (or 15024 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 2542242144 is about 50420.6519592914. The cubic root of 2542242144 is about 1364.8103416940.

Adding to 2542242144 its reverse (4412422452), we get a palindrome (6954664596).

The spelling of 2542242144 in words is "two billion, five hundred forty-two million, two hundred forty-two thousand, one hundred forty-four".