2712890880 has 720 divisors, whose sum is σ = 11461610160. Its totient is φ = 613122048.

The previous prime is 2712890867. The next prime is 2712890893. The reversal of 2712890880 is 880982172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2712890867) and next prime (2712890893).

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481876 + ... + 30481964.

It is an arithmetic number, because the mean of its divisors is an integer number (15918903).

Almost surely, 2^2712890880 is an apocalyptic number.

2712890880 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 2712890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730805080).

2712890880 is an abundant number, since it is smaller than the sum of its proper divisors (8748719280).

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

2712890880 is an frugal number, since it uses more digits than its factorization.

2712890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 2712890880 is about 52085.4190729037. The cubic root of 2712890880 is about 1394.6892127638.

The spelling of 2712890880 in words is "two billion, seven hundred twelve million, eight hundred ninety thousand, eight hundred eighty".