2616988105872 has 1440 divisors, whose sum is σ = 9752788281600. Its totient is φ = 649558425600.

The previous prime is 2616988105847. The next prime is 2616988105891. The reversal of 2616988105872 is 2785018896162.

2616988105872 is a `hidden beast` number, since 2 + 616 + 9 + 8 + 8 + 1 + 0 + 5 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8414752597 + ... + 8414752907.

It is an arithmetic number, because the mean of its divisors is an integer number (6772769640).

Almost surely, 2^{2616988105872} 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 2616988105872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876394140800).

2616988105872 is an abundant number, since it is smaller than the sum of its proper divisors (7135800175728).

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

2616988105872 is a wasteful number, since it uses less digits than its factorization.

2616988105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 2616988105872 in words is "two trillion, six hundred sixteen billion, nine hundred eighty-eight million, one hundred five thousand, eight hundred seventy-two".