2906496768 has 144 divisors (see below), whose sum is σ = 8986535936. Its totient is φ = 816721920.

The previous prime is 2906496737. The next prime is 2906496793. The reversal of 2906496768 is 8676946092.

2906496768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 323505 + ... + 332367.

Almost surely, 2^2906496768 is an apocalyptic number.

2906496768 is a gapful number since it is divisible by the number (28) 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 2906496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493267968).

2906496768 is an abundant number, since it is smaller than the sum of its proper divisors (6080039168).

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

2906496768 is an equidigital number, since it uses as much as digits as its factorization.

2906496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8950 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 2906496768 is about 53911.9353019348. The cubic root of 2906496768 is about 1427.1072576761.

The spelling of 2906496768 in words is "two billion, nine hundred six million, four hundred ninety-six thousand, seven hundred sixty-eight".