2509125696 has 504 divisors, whose sum is σ = 9345452480. Its totient is φ = 629544960.

The previous prime is 2509125623. The next prime is 2509125719. The reversal of 2509125696 is 6965219052.

It is a happy number.

2509125696 is a `hidden beast` number, since 2 + 509 + 1 + 2 + 56 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18051195 + ... + 18051333.

Almost surely, 2^2509125696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672726240).

2509125696 is an abundant number, since it is smaller than the sum of its proper divisors (6836326784).

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

2509125696 is a wasteful number, since it uses less digits than its factorization.

2509125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2509125696 is about 50091.1738333212. The cubic root of 2509125696 is about 1358.8581996756.

The spelling of 2509125696 in words is "two billion, five hundred nine million, one hundred twenty-five thousand, six hundred ninety-six".