2509172120 has 512 divisors, whose sum is σ = 8047226880. Its totient is φ = 681246720.

The previous prime is 2509172111. The next prime is 2509172173. The reversal of 2509172120 is 212719052.

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 127 ways as a sum of consecutive naturals, for example, 58352819 + ... + 58352861.

It is an arithmetic number, because the mean of its divisors is an integer number (15717240).

Almost surely, 2^2509172120 is an apocalyptic number.

2509172120 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 2509172120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

2509172120 is an abundant number, since it is smaller than the sum of its proper divisors (5538054760).

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

2509172120 is a wasteful number, since it uses less digits than its factorization.

2509172120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 2509172120 is about 50091.6372261878. The cubic root of 2509172120 is about 1358.8665801836.

The spelling of 2509172120 in words is "two billion, five hundred nine million, one hundred seventy-two thousand, one hundred twenty".