2615413404044 has 144 divisors (see below), whose sum is σ = 5567160969216. Its totient is φ = 1070709292800.

The previous prime is 2615413404031. The next prime is 2615413404053. The reversal of 2615413404044 is 4404043145162.

It is a junction number, because it is equal to n+sod(n) for n = 2615413403989 and 2615413404007.

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 47 ways as a sum of consecutive naturals, for example, 964739849 + ... + 964742559.

It is an arithmetic number, because the mean of its divisors is an integer number (38660840064).

Almost surely, 2^{2615413404044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2615413404044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783580484608).

2615413404044 is an abundant number, since it is smaller than the sum of its proper divisors (2951747565172).

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

2615413404044 is a wasteful number, since it uses less digits than its factorization.

2615413404044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 2615413404044 in words is "two trillion, six hundred fifteen billion, four hundred thirteen million, four hundred four thousand, forty-four".