2608984111104 has 1008 divisors, whose sum is σ = 9582404668200. Its totient is φ = 705814953984.

The previous prime is 2608984111067. The next prime is 2608984111127. The reversal of 2608984111104 is 4011114898062.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2608984111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1389974614 + ... + 1389976490.

Almost surely, 2^{2608984111104} is an apocalyptic number.

2608984111104 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 2608984111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791202334100).

2608984111104 is an abundant number, since it is smaller than the sum of its proper divisors (6973420557096).

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

2608984111104 is an equidigital number, since it uses as much as digits as its factorization.

2608984111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 2608984111104 in words is "two trillion, six hundred eight billion, nine hundred eighty-four million, one hundred eleven thousand, one hundred four".