2418102613038 has 128 divisors (see below), whose sum is σ = 5728524042240. Its totient is φ = 665893872000.

The previous prime is 2418102612983. The next prime is 2418102613051. The reversal of 2418102613038 is 8303162018142.

It is a junction number, because it is equal to n+sod(n) for n = 2418102612987 and 2418102613005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354089808 + ... + 354096636.

It is an arithmetic number, because the mean of its divisors is an integer number (44754094080).

Almost surely, 2^{2418102613038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2418102613038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864262021120).

2418102613038 is an abundant number, since it is smaller than the sum of its proper divisors (3310421429202).

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

2418102613038 is a wasteful number, since it uses less digits than its factorization.

2418102613038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 2418102613038 in words is "two trillion, four hundred eighteen billion, one hundred two million, six hundred thirteen thousand, thirty-eight".