2618047012416 has 224 divisors, whose sum is σ = 7694831374848. Its totient is φ = 778970357760.

The previous prime is 2618047012351. The next prime is 2618047012417. The reversal of 2618047012416 is 6142107408162.

It is not an unprimeable number, because it can be changed into a prime (2618047012417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25484931 + ... + 25587453.

Almost surely, 2^{2618047012416} 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 2618047012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847415687424).

2618047012416 is an abundant number, since it is smaller than the sum of its proper divisors (5076784362432).

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

2618047012416 is a wasteful number, since it uses less digits than its factorization.

2618047012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102769 (or 102759 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 2618047012416 in words is "two trillion, six hundred eighteen billion, forty-seven million, twelve thousand, four hundred sixteen".