2838027456 has 280 divisors, whose sum is σ = 9265194576. Its totient is φ = 851834880.

The previous prime is 2838027449. The next prime is 2838027509. The reversal of 2838027456 is 6547208382.

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 39 ways as a sum of consecutive naturals, for example, 8952610 + ... + 8952926.

Almost surely, 2^2838027456 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 2838027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632597288).

2838027456 is an abundant number, since it is smaller than the sum of its proper divisors (6427167120).

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

2838027456 is a wasteful number, since it uses less digits than its factorization.

2838027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2838027456 is about 53273.1400989279. The cubic root of 2838027456 is about 1415.8118106698.

The spelling of 2838027456 in words is "two billion, eight hundred thirty-eight million, twenty-seven thousand, four hundred fifty-six".