2509080000 has 560 divisors, whose sum is σ = 9902830080. Its totient is φ = 548352000.

The previous prime is 2509079921. The next prime is 2509080019. The reversal of 2509080000 is 809052.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 24359949 + ... + 24360051.

Almost surely, 2^2509080000 is an apocalyptic number.

2509080000 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 2509080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951415040).

2509080000 is an abundant number, since it is smaller than the sum of its proper divisors (7393750080).

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

2509080000 is a wasteful number, since it uses less digits than its factorization.

2509080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2509080000 is about 50090.7177029837. The cubic root of 2509080000 is about 1358.8499504859.

Adding to 2509080000 its reverse (809052), we get a palindrome (2509889052).

The spelling of 2509080000 in words is "two billion, five hundred nine million, eighty thousand".