2816104977408 has 176 divisors, whose sum is σ = 7581427064640. Its totient is φ = 929299759104.

The previous prime is 2816104977407. The next prime is 2816104977419. The reversal of 2816104977408 is 8047794016182.

2816104977408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2816104977408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816104977407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156973303 + ... + 156991241.

It is an arithmetic number, because the mean of its divisors is an integer number (43076290140).

Almost surely, 2^{2816104977408} 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 2816104977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790713532320).

2816104977408 is an abundant number, since it is smaller than the sum of its proper divisors (4765322087232).

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

2816104977408 is a wasteful number, since it uses less digits than its factorization.

2816104977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18472 (or 18454 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 2816104977408 in words is "two trillion, eight hundred sixteen billion, one hundred four million, nine hundred seventy-seven thousand, four hundred eight".