2468164608 has 528 divisors, whose sum is σ = 9179730560. Its totient is φ = 644972544.

The previous prime is 2468164607. The next prime is 2468164631. The reversal of 2468164608 is 8064618642.

2468164608 is a `hidden beast` number, since 24 + 6 + 8 + 16 + 4 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468164607) 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 47 ways as a sum of consecutive naturals, for example, 22643658 + ... + 22643766.

Almost surely, 2^2468164608 is an apocalyptic number.

2468164608 is a gapful number since it is divisible by the number (28) 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 2468164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589865280).

2468164608 is an abundant number, since it is smaller than the sum of its proper divisors (6711565952).

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

2468164608 is a wasteful number, since it uses less digits than its factorization.

2468164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2468164608 is about 49680.6260830115. The cubic root of 2468164608 is about 1351.4232101933.

The spelling of 2468164608 in words is "two billion, four hundred sixty-eight million, one hundred sixty-four thousand, six hundred eight".