2821309456 has 75 divisors (see below), whose sum is σ = 6400573503. Its totient is φ = 1204670880.

The previous prime is 2821309453. The next prime is 2821309471. The reversal of 2821309456 is 6549031282.

The square root of 2821309456 is 53116.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2821309451) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10410601 + ... + 10410871.

Almost surely, 2^2821309456 is an apocalyptic number.

2821309456 is the 53116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821309456

2821309456 is an abundant number, since it is smaller than the sum of its proper divisors (3579264047).

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

2821309456 is an frugal number, since it uses more digits than its factorization.

2821309456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 2821309456 is about 1413.0262877751.

The spelling of 2821309456 in words is "two billion, eight hundred twenty-one million, three hundred nine thousand, four hundred fifty-six".