2509452288 has 198 divisors, whose sum is σ = 8430524466. Its totient is φ = 716857344.

The previous prime is 2509452241. The next prime is 2509452317. The reversal of 2509452288 is 8822549052.

2509452288 is a `hidden beast` number, since 2 + 509 + 45 + 22 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2472873984 + 36578304 = 49728^2 + 6048^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 448806 + ... + 454362.

Almost surely, 2^2509452288 is an apocalyptic number.

2509452288 is a gapful number since it is divisible by the number (28) 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 2509452288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215262233).

2509452288 is an abundant number, since it is smaller than the sum of its proper divisors (5921072178).

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

2509452288 is a wasteful number, since it uses less digits than its factorization.

2509452288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2509452288 is about 50094.4337027578. The cubic root of 2509452288 is about 1358.9171542037.

The spelling of 2509452288 in words is "two billion, five hundred nine million, four hundred fifty-two thousand, two hundred eighty-eight".