2425004160 has 128 divisors (see below), whose sum is σ = 7747185600. Its totient is φ = 645206016.

The previous prime is 2425004159. The next prime is 2425004173. The reversal of 2425004160 is 614005242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2425004160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049086 + ... + 1051394.

Almost surely, 2^2425004160 is an apocalyptic number.

2425004160 is a gapful number since it is divisible by the number (20) 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 2425004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873592800).

2425004160 is an abundant number, since it is smaller than the sum of its proper divisors (5322181440).

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

2425004160 is a wasteful number, since it uses less digits than its factorization.

2425004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2425004160 is about 49244.3312473629. The cubic root of 2425004160 is about 1343.4994593003.

The spelling of 2425004160 in words is "two billion, four hundred twenty-five million, four thousand, one hundred sixty".