2505602652 has 192 divisors, whose sum is σ = 7160832000. Its totient is φ = 680762880.

The previous prime is 2505602641. The next prime is 2505602657. The reversal of 2505602652 is 2562065052.

2505602652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505602657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9314374 + ... + 9314642.

It is an arithmetic number, because the mean of its divisors is an integer number (37296000).

Almost surely, 2^2505602652 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 2505602652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416000).

2505602652 is an abundant number, since it is smaller than the sum of its proper divisors (4655229348).

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

2505602652 is a wasteful number, since it uses less digits than its factorization.

2505602652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2505602652 is about 50055.9951654145. The cubic root of 2505602652 is about 1358.2219143491.

The spelling of 2505602652 in words is "two billion, five hundred five million, six hundred two thousand, six hundred fifty-two".