2768346720 has 240 divisors, whose sum is σ = 9823424688. Its totient is φ = 734192640.

The previous prime is 2768346719. The next prime is 2768346739. The reversal of 2768346720 is 276438672.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2941450 + ... + 2942390.

Almost surely, 2^2768346720 is an apocalyptic number.

2768346720 is a gapful number since it is divisible by the number (20) 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 2768346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911712344).

2768346720 is an abundant number, since it is smaller than the sum of its proper divisors (7055077968).

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

2768346720 is a wasteful number, since it uses less digits than its factorization.

2768346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2768346720 is about 52615.0807278674. The cubic root of 2768346720 is about 1404.1284125371.

The spelling of 2768346720 in words is "two billion, seven hundred sixty-eight million, three hundred forty-six thousand, seven hundred twenty".