2768394240 has 768 divisors, whose sum is σ = 11321856000. Its totient is φ = 637009920.

The previous prime is 2768394229. The next prime is 2768394247. The reversal of 2768394240 is 424938672.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768394247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89303025 + ... + 89303055.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^2768394240 is an apocalyptic number.

2768394240 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 2768394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

2768394240 is an abundant number, since it is smaller than the sum of its proper divisors (8553461760).

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

2768394240 is a wasteful number, since it uses less digits than its factorization.

2768394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2768394240 is about 52615.5323074850. The cubic root of 2768394240 is about 1404.1364466704.

The spelling of 2768394240 in words is "two billion, seven hundred sixty-eight million, three hundred ninety-four thousand, two hundred forty".