2724041376 has 288 divisors, whose sum is σ = 9534889728. Its totient is φ = 719953920.

The previous prime is 2724041351. The next prime is 2724041399. The reversal of 2724041376 is 6731404272.

2724041376 is a `hidden beast` number, since 2 + 7 + 240 + 41 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2724041376.

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 47 ways as a sum of consecutive naturals, for example, 2089941 + ... + 2091243.

It is an arithmetic number, because the mean of its divisors is an integer number (33107256).

Almost surely, 2^2724041376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767444864).

2724041376 is an abundant number, since it is smaller than the sum of its proper divisors (6810848352).

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

2724041376 is a wasteful number, since it uses less digits than its factorization.

2724041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2724041376 is about 52192.3497842356. The cubic root of 2724041376 is about 1396.5974131779.

The spelling of 2724041376 in words is "two billion, seven hundred twenty-four million, forty-one thousand, three hundred seventy-six".