2821506048 has 528 divisors, whose sum is σ = 9656599680. Its totient is φ = 817496064.

The previous prime is 2821506047. The next prime is 2821506097. The reversal of 2821506048 is 8406051282.

2821506048 is a `hidden beast` number, since 28 + 21 + 5 + 0 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2821506047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97293298 + ... + 97293326.

Almost surely, 2^2821506048 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 2821506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828299840).

2821506048 is an abundant number, since it is smaller than the sum of its proper divisors (6835093632).

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

2821506048 is a wasteful number, since it uses less digits than its factorization.

2821506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2821506048 is about 53117.8505589223. The cubic root of 2821506048 is about 1413.0591074305.

The spelling of 2821506048 in words is "two billion, eight hundred twenty-one million, five hundred six thousand, forty-eight".