2509153296 has 40 divisors (see below), whose sum is σ = 6980594880. Its totient is φ = 772046976.

The previous prime is 2509153291. The next prime is 2509153337. The reversal of 2509153296 is 6923519052.

It is not an unprimeable number, because it can be changed into a prime (2509153291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2009916 + ... + 2011163.

It is an arithmetic number, because the mean of its divisors is an integer number (174514872).

Almost surely, 2^2509153296 is an apocalyptic number.

2509153296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2509153296 is an abundant number, since it is smaller than the sum of its proper divisors (4471441584).

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

2509153296 is a wasteful number, since it uses less digits than its factorization.

2509153296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021103 (or 4021097 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 2509153296 is about 50091.4493302001. The cubic root of 2509153296 is about 1358.8631820683.

It can be divided in two parts, 25091 and 53296, that added together give a palindrome (78387).

The spelling of 2509153296 in words is "two billion, five hundred nine million, one hundred fifty-three thousand, two hundred ninety-six".