2616180480000 has 1440 divisors, whose sum is σ = 10058195347200. Its totient is φ = 653721600000.

The previous prime is 2616180479989. The next prime is 2616180480047. The reversal of 2616180480000 is 840816162.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13697279905 + ... + 13697280095.

It is an arithmetic number, because the mean of its divisors is an integer number (6984857880).

Almost surely, 2^{2616180480000} is an apocalyptic number.

2616180480000 is a gapful number since it is divisible by the number (20) 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 2616180480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029097673600).

2616180480000 is an abundant number, since it is smaller than the sum of its proper divisors (7442014867200).

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

2616180480000 is a wasteful number, since it uses less digits than its factorization.

2616180480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2616180480000 in words is "two trillion, six hundred sixteen billion, one hundred eighty million, four hundred eighty thousand".