2509369632 has 504 divisors, whose sum is σ = 9378044928. Its totient is φ = 646652160.

The previous prime is 2509369601. The next prime is 2509369661. The reversal of 2509369632 is 2369639052.

2509369632 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 3 + 6 + 9 + 632 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758753 + ... + 19758879.

It is an arithmetic number, because the mean of its divisors is an integer number (18607232).

Almost surely, 2^2509369632 is an apocalyptic number.

2509369632 is a gapful number since it is divisible by the number (22) 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 2509369632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689022464).

2509369632 is an abundant number, since it is smaller than the sum of its proper divisors (6868675296).

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

2509369632 is a wasteful number, since it uses less digits than its factorization.

2509369632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 2509369632 is about 50093.6086941238. The cubic root of 2509369632 is about 1358.9022340967.

The spelling of 2509369632 in words is "two billion, five hundred nine million, three hundred sixty-nine thousand, six hundred thirty-two".