2505831552 has 384 divisors, whose sum is σ = 9062202240. Its totient is φ = 672841728.

The previous prime is 2505831551. The next prime is 2505831553. The reversal of 2505831552 is 2551385052.

2505831552 is a `hidden beast` number, since 2 + 50 + 58 + 3 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (2505831551) and next prime (2505831553).

It is a tau number, because it is divible by the number of its divisors (384).

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 (2505831551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701038 + ... + 3701714.

It is an arithmetic number, because the mean of its divisors is an integer number (23599485).

Almost surely, 2^2505831552 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 2505831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531101120).

2505831552 is an abundant number, since it is smaller than the sum of its proper divisors (6556370688).

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

2505831552 is an equidigital number, since it uses as much as digits as its factorization.

2505831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 2505831552 is about 50058.2815526063. The cubic root of 2505831552 is about 1358.2632733317.

The spelling of 2505831552 in words is "two billion, five hundred five million, eight hundred thirty-one thousand, five hundred fifty-two".