2889875456 has 92 divisors (see below), whose sum is σ = 6341786892. Its totient is φ = 1308622848.

The previous prime is 2889875449. The next prime is 2889875539. The reversal of 2889875456 is 6545789882.

It can be written as a sum of positive squares in 2 ways, for example, as 1212153856 + 1677721600 = 34816^2 + 40960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54525926 + ... + 54525978.

Almost surely, 2^2889875456 is an apocalyptic number.

2889875456 is a gapful number since it is divisible by the number (26) 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 2889875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170893446).

2889875456 is an abundant number, since it is smaller than the sum of its proper divisors (3451911436).

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

2889875456 is an frugal number, since it uses more digits than its factorization.

2889875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 62.

The square root of 2889875456 is about 53757.5618494738. The cubic root of 2889875456 is about 1424.3816676729.

The spelling of 2889875456 in words is "two billion, eight hundred eighty-nine million, eight hundred seventy-five thousand, four hundred fifty-six".