2391072768 has 336 divisors, whose sum is σ = 8157947616. Its totient is φ = 660602880.

The previous prime is 2391072743. The next prime is 2391072787. The reversal of 2391072768 is 8672701932.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21159880 + ... + 21159992.

It is an arithmetic number, because the mean of its divisors is an integer number (24279606).

Almost surely, 2^2391072768 is an apocalyptic number.

2391072768 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 2391072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078973808).

2391072768 is an abundant number, since it is smaller than the sum of its proper divisors (5766874848).

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

2391072768 is a wasteful number, since it uses less digits than its factorization.

2391072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2391072768 is about 48898.5967896830. The cubic root of 2391072768 is about 1337.2037867104.

The spelling of 2391072768 in words is "two billion, three hundred ninety-one million, seventy-two thousand, seven hundred sixty-eight".