2727872010 has 72 divisors (see below), whose sum is σ = 7247109636. Its totient is φ = 711903360.

The previous prime is 2727871997. The next prime is 2727872029. The reversal of 2727872010 is 102787272.

It can be written as a sum of positive squares in 2 ways, for example, as 2590911801 + 136960209 = 50901^2 + 11703^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191950 + ... + 205670.

Almost surely, 2^2727872010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2727872010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623554818).

2727872010 is an abundant number, since it is smaller than the sum of its proper divisors (4519237626).

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

2727872010 is a wasteful number, since it uses less digits than its factorization.

2727872010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13828 (or 13778 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 2727872010 is about 52229.0341668310. The cubic root of 2727872010 is about 1397.2517531876.

The spelling of 2727872010 in words is "two billion, seven hundred twenty-seven million, eight hundred seventy-two thousand, ten".