2465136315642 has 144 divisors (see below), whose sum is σ = 6706465416000. Its totient is φ = 591041468160.

The previous prime is 2465136315637. The next prime is 2465136315667.

2465136315642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2465136315591 and 2465136315600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576267 + ... + 2293982.

It is an arithmetic number, because the mean of its divisors is an integer number (46572676500).

Almost surely, 2^{2465136315642} is an apocalyptic number.

2465136315642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2465136315642 is an abundant number, since it is smaller than the sum of its proper divisors (4241329100358).

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

2465136315642 is a wasteful number, since it uses less digits than its factorization.

2465136315642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870309 (or 2870285 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 2465136315642 in words is "two trillion, four hundred sixty-five billion, one hundred thirty-six million, three hundred fifteen thousand, six hundred forty-two".