2768503680 has 384 divisors, whose sum is σ = 10325296800. Its totient is φ = 681246720.

The previous prime is 2768503657. The next prime is 2768503681. The reversal of 2768503680 is 863058672.

2768503680 is a `hidden beast` number, since 2 + 7 + 68 + 503 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2768503680² = 15329225252347084800, which contains 22 as substring.

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 (2768503681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4486732 + ... + 4487348.

Almost surely, 2^2768503680 is an apocalyptic number.

2768503680 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 2768503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162648400).

2768503680 is an abundant number, since it is smaller than the sum of its proper divisors (7556793120).

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

2768503680 is a wasteful number, since it uses less digits than its factorization.

2768503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2768503680 is about 52616.5722942877. The cubic root of 2768503680 is about 1404.1549491734.

The spelling of 2768503680 in words is "two billion, seven hundred sixty-eight million, five hundred three thousand, six hundred eighty".