2505436752 has 160 divisors (see below), whose sum is σ = 8012542720. Its totient is φ = 656916480.

The previous prime is 2505436751. The next prime is 2505436757. The reversal of 2505436752 is 2576345052.

It is a happy number.

2505436752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2505436752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505436751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789024 + ... + 792192.

It is an arithmetic number, because the mean of its divisors is an integer number (50078392).

Almost surely, 2^2505436752 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 2505436752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006271360).

2505436752 is an abundant number, since it is smaller than the sum of its proper divisors (5507105968).

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

2505436752 is a wasteful number, since it uses less digits than its factorization.

2505436752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 2505436752 is about 50054.3379938243. The cubic root of 2505436752 is about 1358.1919369983.

The spelling of 2505436752 in words is "two billion, five hundred five million, four hundred thirty-six thousand, seven hundred fifty-two".