2504010960 has 480 divisors, whose sum is σ = 9585029376. Its totient is φ = 580608000.

The previous prime is 2504010947. The next prime is 2504010961. The reversal of 2504010960 is 690104052.

2504010960 is a `hidden beast` number, since 250 + 401 + 0 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504010961) 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 95 ways as a sum of consecutive naturals, for example, 34301484 + ... + 34301556.

Almost surely, 2^2504010960 is an apocalyptic number.

2504010960 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 2504010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792514688).

2504010960 is an abundant number, since it is smaller than the sum of its proper divisors (7081018416).

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

2504010960 is a wasteful number, since it uses less digits than its factorization.

2504010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2504010960 is about 50040.0935250925. The cubic root of 2504010960 is about 1357.9342485063.

The spelling of 2504010960 in words is "two billion, five hundred four million, ten thousand, nine hundred sixty".