2789001264 has 80 divisors (see below), whose sum is σ = 8244972288. Its totient is φ = 795814656.

The previous prime is 2789001263. The next prime is 2789001287. The reversal of 2789001264 is 4621009872.

It is not an unprimeable number, because it can be changed into a prime (2789001263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 272854 + ... + 282890.

Almost surely, 2^2789001264 is an apocalyptic number.

2789001264 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 2789001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122486144).

2789001264 is an abundant number, since it is smaller than the sum of its proper divisors (5455971024).

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

2789001264 is a wasteful number, since it uses less digits than its factorization.

2789001264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2789001264 is about 52810.9956732497. The cubic root of 2789001264 is about 1407.6118156591.

The spelling of 2789001264 in words is "two billion, seven hundred eighty-nine million, one thousand, two hundred sixty-four".