2727494880 has 288 divisors, whose sum is σ = 9536776704. Its totient is φ = 654720000.

The previous prime is 2727494879. The next prime is 2727494881. The reversal of 2727494880 is 884947272.

It is an interprime number because it is at equal distance from previous prime (2727494879) and next prime (2727494881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2727494881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8769925 + ... + 8770235.

It is an arithmetic number, because the mean of its divisors is an integer number (33113808).

Almost surely, 2^2727494880 is an apocalyptic number.

2727494880 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 2727494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768388352).

2727494880 is an abundant number, since it is smaller than the sum of its proper divisors (6809281824).

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

2727494880 is a wasteful number, since it uses less digits than its factorization.

2727494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 2727494880 is about 52225.4236938294. The cubic root of 2727494880 is about 1397.1873599124.

The spelling of 2727494880 in words is "two billion, seven hundred twenty-seven million, four hundred ninety-four thousand, eight hundred eighty".