2821109907456 has 289 divisors, whose sum is σ = 8463265086751. Its totient is φ = 940369969152.

The previous prime is 2821109907437. The next prime is 2821109907503. The reversal of 2821109907456 is 6547099011282.

It is a happy number.

The square root of 2821109907456 is 1679616.

It is a perfect power (a square, a biquadrate, a 8-th power, a 16-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)¹⁶.

2821109907456 is a `hidden beast` number, since 2 + 82 + 1 + 109 + 9 + 0 + 7 + 456 = 666.

It is a super-3 number, since 3×2821109907456³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 940369969151 + 940369969152 + 940369969153.

Almost surely, 2^{2821109907456} is an apocalyptic number.

2821109907456 is the 1679616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821109907456

2821109907456 is an abundant number, since it is smaller than the sum of its proper divisors (5642155179295).

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

2821109907456 is an frugal number, since it uses more digits than its factorization.

2821109907456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2821109907456 in words is "two trillion, eight hundred twenty-one billion, one hundred nine million, nine hundred seven thousand, four hundred fifty-six".