2542468518144 has 189 divisors, whose sum is σ = 7611089545479. Its totient is φ = 847259896320.

The previous prime is 2542468518131. The next prime is 2542468518173. The reversal of 2542468518144 is 4418158642452.

The square root of 2542468518144 is 1594512.

It is a perfect power (a square), and thus also a powerful number.

2542468518144 is a `hidden beast` number, since 2 + 5 + 4 + 24 + 68 + 518 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 688827339 + ... + 688831029.

Almost surely, 2^{2542468518144} is an apocalyptic number.

2542468518144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2542468518144 is the 1594512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542468518144

2542468518144 is an abundant number, since it is smaller than the sum of its proper divisors (5068621027335).

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

2542468518144 is an frugal number, since it uses more digits than its factorization.

2542468518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 3696 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 2542468518144 in words is "two trillion, five hundred forty-two billion, four hundred sixty-eight million, five hundred eighteen thousand, one hundred forty-four".