2712768480 has 144 divisors (see below), whose sum is σ = 9324609840. Its totient is φ = 718147584.

The previous prime is 2712768473. The next prime is 2712768517. The reversal of 2712768480 is 848672172.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2712768480² = 14718225652163020800, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193384 + ... + 206936.

It is an arithmetic number, because the mean of its divisors is an integer number (64754235).

Almost surely, 2^2712768480 is an apocalyptic number.

2712768480 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 2712768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662304920).

2712768480 is an abundant number, since it is smaller than the sum of its proper divisors (6611841360).

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

2712768480 is a wasteful number, since it uses less digits than its factorization.

2712768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13713 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2712768480 is about 52084.2440667041. The cubic root of 2712768480 is about 1394.6682372885.

The spelling of 2712768480 in words is "two billion, seven hundred twelve million, seven hundred sixty-eight thousand, four hundred eighty".