2542274242560 has 2688 divisors, whose sum is σ = 11044498832640. Its totient is φ = 554963042304.

The previous prime is 2542274242477. The next prime is 2542274242591. The reversal of 2542274242560 is 652424722452.

It is a happy number.

2542274242560 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 2 + 7 + 42 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 37944391647 + ... + 37944391713.

It is an arithmetic number, because the mean of its divisors is an integer number (4108816530).

Almost surely, 2^{2542274242560} is an apocalyptic number.

2542274242560 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 2542274242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522249416320).

2542274242560 is an abundant number, since it is smaller than the sum of its proper divisors (8502224590080).

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

2542274242560 is a wasteful number, since it uses less digits than its factorization.

2542274242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 2542274242560 in words is "two trillion, five hundred forty-two billion, two hundred seventy-four million, two hundred forty-two thousand, five hundred sixty".