2789429472 has 144 divisors (see below), whose sum is σ = 8163883728. Its totient is φ = 903075840.

The previous prime is 2789429471. The next prime is 2789429473. The reversal of 2789429472 is 2749249872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2789429471) and next prime (2789429473).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789429471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457188 + ... + 1459100.

It is an arithmetic number, because the mean of its divisors is an integer number (56693637).

Almost surely, 2^2789429472 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 2789429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081941864).

2789429472 is an abundant number, since it is smaller than the sum of its proper divisors (5374454256).

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

2789429472 is a wasteful number, since it uses less digits than its factorization.

2789429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2062 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2789429472 is about 52815.0496733649. The cubic root of 2789429472 is about 1407.6838509790.

The spelling of 2789429472 in words is "two billion, seven hundred eighty-nine million, four hundred twenty-nine thousand, four hundred seventy-two".