2784889464 has 128 divisors (see below), whose sum is σ = 8274739200. Its totient is φ = 764277120.

The previous prime is 2784889439. The next prime is 2784889487. The reversal of 2784889464 is 4649884872.

It is a junction number, because it is equal to n+sod(n) for n = 2784889398 and 2784889407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721989 + ... + 725835.

It is an arithmetic number, because the mean of its divisors is an integer number (64646400).

Almost surely, 2^2784889464 is an apocalyptic number.

2784889464 is a gapful number since it is divisible by the number (24) 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 2784889464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137369600).

2784889464 is an abundant number, since it is smaller than the sum of its proper divisors (5489849736).

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

2784889464 is a wasteful number, since it uses less digits than its factorization.

2784889464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4029 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The square root of 2784889464 is about 52772.0519214480. The cubic root of 2784889464 is about 1406.9197322025.

The spelling of 2784889464 in words is "two billion, seven hundred eighty-four million, eight hundred eighty-nine thousand, four hundred sixty-four".