2604145752 has 96 divisors (see below), whose sum is σ = 7616809200. Its totient is φ = 799020288.

The previous prime is 2604145751. The next prime is 2604145769. The reversal of 2604145752 is 2575414062.

It is a happy number.

2604145752 is a `hidden beast` number, since 2 + 604 + 1 + 45 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604145751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345399 + ... + 352857.

Almost surely, 2^2604145752 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 2604145752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808404600).

2604145752 is an abundant number, since it is smaller than the sum of its proper divisors (5012663448).

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

2604145752 is a wasteful number, since it uses less digits than its factorization.

2604145752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2604145752 is about 51030.8313865255. The cubic root of 2604145752 is about 1375.7993372318.

The spelling of 2604145752 in words is "two billion, six hundred four million, one hundred forty-five thousand, seven hundred fifty-two".