2552552500 has 60 divisors (see below), whose sum is σ = 5613756148. Its totient is φ = 1015200000.

The previous prime is 2552552491. The next prime is 2552552501. The reversal of 2552552500 is 52552552.

It can be written as a sum of positive squares in 10 ways, for example, as 1963907856 + 588644644 = 44316^2 + 24262^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552552501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 449680 + ... + 455320.

Almost surely, 2^2552552500 is an apocalyptic number.

2552552500 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 2552552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806878074).

2552552500 is an abundant number, since it is smaller than the sum of its proper divisors (3061203648).

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

2552552500 is a wasteful number, since it uses less digits than its factorization.

2552552500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 31.

The square root of 2552552500 is about 50522.7918864348. The cubic root of 2552552500 is about 1366.6529015733.

The spelling of 2552552500 in words is "two billion, five hundred fifty-two million, five hundred fifty-two thousand, five hundred".