2861619389664 has 192 divisors, whose sum is σ = 8667127687680. Its totient is φ = 809776465920.

The previous prime is 2861619389647. The next prime is 2861619389687. The reversal of 2861619389664 is 4669839161682.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 224205747 + ... + 224218509.

It is an arithmetic number, because the mean of its divisors is an integer number (45141290040).

Almost surely, 2^{2861619389664} is an apocalyptic number.

2861619389664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2861619389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333563843840).

2861619389664 is an abundant number, since it is smaller than the sum of its proper divisors (5805508298016).

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

2861619389664 is a wasteful number, since it uses less digits than its factorization.

2861619389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15945 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 69.

The spelling of 2861619389664 in words is "two trillion, eight hundred sixty-one billion, six hundred nineteen million, three hundred eighty-nine thousand, six hundred sixty-four".