2412904608 has 72 divisors (see below), whose sum is σ = 7160051808. Its totient is φ = 769329792.

The previous prime is 2412904607. The next prime is 2412904609. The reversal of 2412904608 is 8064092142.

2412904608 is a `hidden beast` number, since 2 + 41 + 2 + 9 + 0 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (2412904607) and next prime (2412904609).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2412904607) 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 11 ways as a sum of consecutive naturals, for example, 175510 + ... + 188757.

It is an arithmetic number, because the mean of its divisors is an integer number (99445164).

Almost surely, 2^2412904608 is an apocalyptic number.

It is an amenable number.

2412904608 is an abundant number, since it is smaller than the sum of its proper divisors (4747147200).

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

2412904608 is a wasteful number, since it uses less digits than its factorization.

2412904608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364306 (or 364295 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2412904608 is about 49121.3253892848. The cubic root of 2412904608 is about 1341.2612703212.

The spelling of 2412904608 in words is "two billion, four hundred twelve million, nine hundred four thousand, six hundred eight".