2509940736 has 192 divisors, whose sum is σ = 7829640000. Its totient is φ = 792281088.

The previous prime is 2509940731. The next prime is 2509940759. The reversal of 2509940736 is 6370499052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2509940691 and 2509940700.

It is not an unprimeable number, because it can be changed into a prime (2509940731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049430 + ... + 1051818.

It is an arithmetic number, because the mean of its divisors is an integer number (40779375).

Almost surely, 2^2509940736 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 2509940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914820000).

2509940736 is an abundant number, since it is smaller than the sum of its proper divisors (5319699264).

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

2509940736 is a wasteful number, since it uses less digits than its factorization.

2509940736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2509940736 is about 50099.3087377461. The cubic root of 2509940736 is about 1359.0053165102.

The spelling of 2509940736 in words is "two billion, five hundred nine million, nine hundred forty thousand, seven hundred thirty-six".