2478616164 has 36 divisors (see below), whose sum is σ = 6267537276. Its totient is φ = 825922368.

The previous prime is 2478616141. The next prime is 2478616211. The reversal of 2478616164 is 4616168742.

2478616164 is a `hidden beast` number, since 2 + 478 + 6 + 16 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2429504100 + 49112064 = 49290^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2478616164² = 12287076176884149792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112782 + ... + 132954.

Almost surely, 2^2478616164 is an apocalyptic number.

It is an amenable number.

2478616164 is an abundant number, since it is smaller than the sum of its proper divisors (3788921112).

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

2478616164 is a wasteful number, since it uses less digits than its factorization.

2478616164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23596 (or 23591 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2478616164 is about 49785.7024054095. The cubic root of 2478616164 is about 1353.3280784468.

The spelling of 2478616164 in words is "two billion, four hundred seventy-eight million, six hundred sixteen thousand, one hundred sixty-four".