2613503880 has 576 divisors, whose sum is σ = 10023773760. Its totient is φ = 611380224.

The previous prime is 2613503839. The next prime is 2613503899. The reversal of 2613503880 is 883053162.

2613503880 is a `hidden beast` number, since 2 + 613 + 5 + 0 + 38 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60779139 + ... + 60779181.

It is an arithmetic number, because the mean of its divisors is an integer number (17402385).

Almost surely, 2^2613503880 is an apocalyptic number.

2613503880 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 2613503880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011886880).

2613503880 is an abundant number, since it is smaller than the sum of its proper divisors (7410269880).

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

2613503880 is a wasteful number, since it uses less digits than its factorization.

2613503880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2613503880 is about 51122.4400826095. The cubic root of 2613503880 is about 1377.4453683470.

The spelling of 2613503880 in words is "two billion, six hundred thirteen million, five hundred three thousand, eight hundred eighty".