2582642313042 has 32 divisors (see below), whose sum is σ = 5689563310080. Its totient is φ = 775020639120.

The previous prime is 2582642313019. The next prime is 2582642313049. The reversal of 2582642313042 is 2403132462852.

It is a happy number.

It is a super-2 number, since 2×2582642313042² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2582642312985 and 2582642313003.

It is not an unprimeable number, because it can be changed into a prime (2582642313049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189949242 + ... + 189962837.

It is an arithmetic number, because the mean of its divisors is an integer number (177798853440).

Almost surely, 2^{2582642313042} is an apocalyptic number.

2582642313042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2582642313042 is an abundant number, since it is smaller than the sum of its proper divisors (3106920997038).

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

2582642313042 is a wasteful number, since it uses less digits than its factorization.

2582642313042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379912198.

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 2582642313042 its reverse (2403132462852), we get a palindrome (4985774775894).

The spelling of 2582642313042 in words is "two trillion, five hundred eighty-two billion, six hundred forty-two million, three hundred thirteen thousand, forty-two".