2820737104416 has 1536 divisors, whose sum is σ = 10986380697600. Its totient is φ = 688484966400.

The previous prime is 2820737104403. The next prime is 2820737104481. The reversal of 2820737104416 is 6144017370282.

2820737104416 is a `hidden beast` number, since 28 + 207 + 3 + 7 + 1 + 0 + 4 + 416 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10038210196 + ... + 10038210476.

It is an arithmetic number, because the mean of its divisors is an integer number (7152591600).

Almost surely, 2^{2820737104416} 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 2820737104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493190348800).

2820737104416 is an abundant number, since it is smaller than the sum of its proper divisors (8165643593184).

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

2820737104416 is a wasteful number, since it uses less digits than its factorization.

2820737104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2820737104416 in words is "two trillion, eight hundred twenty billion, seven hundred thirty-seven million, one hundred four thousand, four hundred sixteen".