2768478504 has 128 divisors (see below), whose sum is σ = 7838208000. Its totient is φ = 807161600.

The previous prime is 2768478481. The next prime is 2768478511. The reversal of 2768478504 is 4058748672.

It is a super-2 number, since 2×2768478504² = 15328946454220156032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3299317 + ... + 3300155.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 2^2768478504 is an apocalyptic number.

2768478504 is a gapful number since it is divisible by the number (24) 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 2768478504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

2768478504 is an abundant number, since it is smaller than the sum of its proper divisors (5069729496).

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

2768478504 is a wasteful number, since it uses less digits than its factorization.

2768478504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The square root of 2768478504 is about 52616.3330535301. Note that the first 3 decimals coincide. The cubic root of 2768478504 is about 1404.1506928294.

The spelling of 2768478504 in words is "two billion, seven hundred sixty-eight million, four hundred seventy-eight thousand, five hundred four".