2789462956 has 48 divisors (see below), whose sum is σ = 5771243520. Its totient is φ = 1154439360.

The previous prime is 2789462939. The next prime is 2789462971. The reversal of 2789462956 is 6592649872.

2789462956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2789462956² = 15562207165792515872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2789462956.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433410 + ... + 439798.

It is an arithmetic number, because the mean of its divisors is an integer number (120234240).

Almost surely, 2^2789462956 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 2789462956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885621760).

2789462956 is an abundant number, since it is smaller than the sum of its proper divisors (2981780564).

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

2789462956 is a wasteful number, since it uses less digits than its factorization.

2789462956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6932 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The square root of 2789462956 is about 52815.3666653939. The cubic root of 2789462956 is about 1407.6894835164.

The spelling of 2789462956 in words is "two billion, seven hundred eighty-nine million, four hundred sixty-two thousand, nine hundred fifty-six".