2542381467822 has 192 divisors, whose sum is σ = 6934081190400. Its totient is φ = 686568234240.

The previous prime is 2542381467761. The next prime is 2542381467827. The reversal of 2542381467822 is 2287641832452.

2542381467822 is a `hidden beast` number, since 2 + 5 + 4 + 23 + 81 + 467 + 82 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542381467827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21710247 + ... + 21827037.

It is an arithmetic number, because the mean of its divisors is an integer number (36115006200).

Almost surely, 2^{2542381467822} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542381467822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467040595200).

2542381467822 is an abundant number, since it is smaller than the sum of its proper divisors (4391699722578).

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

2542381467822 is a wasteful number, since it uses less digits than its factorization.

2542381467822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117268 (or 117255 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 2542381467822 in words is "two trillion, five hundred forty-two billion, three hundred eighty-one million, four hundred sixty-seven thousand, eight hundred twenty-two".