2724404011146 has 24 divisors (see below), whose sum is σ = 5904004002624. Its totient is φ = 907961032680.

The previous prime is 2724404011139. The next prime is 2724404011159. The reversal of 2724404011146 is 6411104044272.

2724404011146 is a `hidden beast` number, since 2 + 7 + 244 + 0 + 401 + 1 + 1 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2724404011146.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14373036 + ... + 14561351.

It is an arithmetic number, because the mean of its divisors is an integer number (246000166776).

Almost surely, 2^{2724404011146} is an apocalyptic number.

2724404011146 is an abundant number, since it is smaller than the sum of its proper divisors (3179599991478).

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

2724404011146 is a wasteful number, since it uses less digits than its factorization.

2724404011146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28939626 (or 28939623 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2724404011146 in words is "two trillion, seven hundred twenty-four billion, four hundred four million, eleven thousand, one hundred forty-six".