2724986880 has 608 divisors, whose sum is σ = 12079572480. Its totient is φ = 566231040.

The previous prime is 2724986867. The next prime is 2724986903. The reversal of 2724986880 is 886894272.

2724986880 is a `hidden beast` number, since 2 + 72 + 498 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247726075 + ... + 247726085.

Almost surely, 2^2724986880 is an apocalyptic number.

2724986880 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 2724986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039786240).

2724986880 is an abundant number, since it is smaller than the sum of its proper divisors (9354585600).

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

2724986880 is an frugal number, since it uses more digits than its factorization.

2724986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2724986880 is about 52201.4068775929. The cubic root of 2724986880 is about 1396.7589789680.

It can be divided in two parts, 272498 and 6880, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 2724986880 in words is "two billion, seven hundred twenty-four million, nine hundred eighty-six thousand, eight hundred eighty".