2768240640 has 200 divisors, whose sum is σ = 9663676128. Its totient is φ = 671088640.

The previous prime is 2768240633. The next prime is 2768240677. The reversal of 2768240640 is 460428672.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251658235 + ... + 251658245.

Almost surely, 2^2768240640 is an apocalyptic number.

2768240640 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 2768240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831838064).

2768240640 is an abundant number, since it is smaller than the sum of its proper divisors (6895435488).

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

2768240640 is an frugal number, since it uses more digits than its factorization.

2768240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2768240640 is about 52614.0726422124. The cubic root of 2768240640 is about 1404.1104774228.

The spelling of 2768240640 in words is "two billion, seven hundred sixty-eight million, two hundred forty thousand, six hundred forty".