2821090272 has 384 divisors, whose sum is σ = 10274439168. Its totient is φ = 653875200.

The previous prime is 2821090249. The next prime is 2821090289. The reversal of 2821090272 is 2720901282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2978503 + ... + 2979449.

It is an arithmetic number, because the mean of its divisors is an integer number (26756352).

Almost surely, 2^2821090272 is an apocalyptic number.

2821090272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821090272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137219584).

2821090272 is an abundant number, since it is smaller than the sum of its proper divisors (7453348896).

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

2821090272 is a wasteful number, since it uses less digits than its factorization.

2821090272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2821090272 is about 53113.9367021500. The cubic root of 2821090272 is about 1412.9896947463.

The spelling of 2821090272 in words is "two billion, eight hundred twenty-one million, ninety thousand, two hundred seventy-two".