2710270080 has 192 divisors, whose sum is σ = 10696046400. Its totient is φ = 619481088.

The previous prime is 2710270039. The next prime is 2710270093. The reversal of 2710270080 is 800720172.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 6711 + ... + 73929.

It is an arithmetic number, because the mean of its divisors is an integer number (55708575).

Almost surely, 2^2710270080 is an apocalyptic number.

2710270080 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 2710270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348023200).

2710270080 is an abundant number, since it is smaller than the sum of its proper divisors (7985776320).

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

2710270080 is a wasteful number, since it uses less digits than its factorization.

2710270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67251 (or 67236 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2710270080 is about 52060.2543213150. The cubic root of 2710270080 is about 1394.2399528754.

The spelling of 2710270080 in words is "two billion, seven hundred ten million, two hundred seventy thousand, eighty".