2552002552 has 64 divisors (see below), whose sum is σ = 5454021600. Its totient is φ = 1108800000.

The previous prime is 2552002507. The next prime is 2552002567.

2552002552 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2552002552³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2552002552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252802 + ... + 262702.

Almost surely, 2^2552002552 is an apocalyptic number.

2552002552 is a gapful number since it is divisible by the number (22) 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 2552002552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727010800).

2552002552 is an abundant number, since it is smaller than the sum of its proper divisors (2902019048).

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

2552002552 is a wasteful number, since it uses less digits than its factorization.

2552002552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 2552002552 is about 50517.3490199159. The cubic root of 2552002552 is about 1366.5547459672.

It can be divided in two parts, 255200 and 2552, that multiplied together give a square (651270400 = 25520²).

The spelling of 2552002552 in words is "two billion, five hundred fifty-two million, two thousand, five hundred fifty-two".