2415538355142 has 96 divisors (see below), whose sum is σ = 5351014408320. Its totient is φ = 726359356800.

The previous prime is 2415538355119. The next prime is 2415538355171.

2415538355142 is nontrivially palindromic in base 10.

2415538355142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2415538355091 and 2415538355100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265702017 + ... + 265711107.

It is an arithmetic number, because the mean of its divisors is an integer number (55739733420).

Almost surely, 2^{2415538355142} is an apocalyptic number.

2415538355142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415538355142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675507204160).

2415538355142 is an abundant number, since it is smaller than the sum of its proper divisors (2935476053178).

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

2415538355142 is a wasteful number, since it uses less digits than its factorization.

2415538355142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890 (or 11879 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 48.

The spelling of 2415538355142 in words is "two trillion, four hundred fifteen billion, five hundred thirty-eight million, three hundred fifty-five thousand, one hundred forty-two".