2509934960 has 160 divisors (see below), whose sum is σ = 6796023360. Its totient is φ = 853991424.

The previous prime is 2509934953. The next prime is 2509934963. The reversal of 2509934960 is 694399052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509934963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729404 + ... + 732836.

It is an arithmetic number, because the mean of its divisors is an integer number (42475146).

Almost surely, 2^2509934960 is an apocalyptic number.

2509934960 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 2509934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398011680).

2509934960 is an abundant number, since it is smaller than the sum of its proper divisors (4286088400).

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

2509934960 is a wasteful number, since it uses less digits than its factorization.

2509934960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 47.

The square root of 2509934960 is about 50099.2510922070. The cubic root of 2509934960 is about 1359.0042740392.

The spelling of 2509934960 in words is "two billion, five hundred nine million, nine hundred thirty-four thousand, nine hundred sixty".