2768815980 has 96 divisors (see below), whose sum is σ = 9844692480. Its totient is φ = 632871360.

The previous prime is 2768815979. The next prime is 2768815981. The reversal of 2768815980 is 895188672.

It is an interprime number because it is at equal distance from previous prime (2768815979) and next prime (2768815981).

It is a super-2 number, since 2×2768815980² = 15332683862206720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2768815981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362466 + ... + 370025.

It is an arithmetic number, because the mean of its divisors is an integer number (102548880).

Almost surely, 2^2768815980 is an apocalyptic number.

2768815980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768815980 is an abundant number, since it is smaller than the sum of its proper divisors (7075876500).

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

2768815980 is a wasteful number, since it uses less digits than its factorization.

2768815980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732516 (or 732508 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2768815980 is about 52619.5399067685. The cubic root of 2768815980 is about 1404.2077455758.

The spelling of 2768815980 in words is "two billion, seven hundred sixty-eight million, eight hundred fifteen thousand, nine hundred eighty".