2768025344 has 144 divisors (see below), whose sum is σ = 6640220160. Its totient is φ = 1125949440.

The previous prime is 2768025341. The next prime is 2768025361. The reversal of 2768025344 is 4435208672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768025341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9850484 + ... + 9850764.

It is an arithmetic number, because the mean of its divisors is an integer number (46112640).

Almost surely, 2^2768025344 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 2768025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320110080).

2768025344 is an abundant number, since it is smaller than the sum of its proper divisors (3872194816).

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

2768025344 is a wasteful number, since it uses less digits than its factorization.

2768025344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 2768025344 is about 52612.0266098922. The cubic root of 2768025344 is about 1404.0740755770.

The spelling of 2768025344 in words is "two billion, seven hundred sixty-eight million, twenty-five thousand, three hundred forty-four".