2425678164 has 480 divisors, whose sum is σ = 8423923200. Its totient is φ = 603542016.

The previous prime is 2425678163. The next prime is 2425678207. The reversal of 2425678164 is 4618765242.

2425678164 is a `hidden beast` number, since 2 + 4 + 2 + 567 + 81 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425678163) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 33228432 + ... + 33228504.

It is an arithmetic number, because the mean of its divisors is an integer number (17549840).

Almost surely, 2^2425678164 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 2425678164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211961600).

2425678164 is an abundant number, since it is smaller than the sum of its proper divisors (5998245036).

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

2425678164 is a wasteful number, since it uses less digits than its factorization.

2425678164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2425678164 is about 49251.1742398087. The cubic root of 2425678164 is about 1343.6239182111.

The spelling of 2425678164 in words is "two billion, four hundred twenty-five million, six hundred seventy-eight thousand, one hundred sixty-four".