2768353392 has 240 divisors, whose sum is σ = 8630876160. Its totient is φ = 761918976.

The previous prime is 2768353381. The next prime is 2768353411. The reversal of 2768353392 is 2933538672.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8732818 + ... + 8733134.

It is an arithmetic number, because the mean of its divisors is an integer number (35961984).

Almost surely, 2^2768353392 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 2768353392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315438080).

2768353392 is an abundant number, since it is smaller than the sum of its proper divisors (5862522768).

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

2768353392 is a wasteful number, since it uses less digits than its factorization.

2768353392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 2768353392 is about 52615.1441317041. The cubic root of 2768353392 is about 1404.1295405674.

The spelling of 2768353392 in words is "two billion, seven hundred sixty-eight million, three hundred fifty-three thousand, three hundred ninety-two".