2613006000 has 640 divisors, whose sum is σ = 10529326080. Its totient is φ = 614016000.

The previous prime is 2613005987. The next prime is 2613006007. The reversal of 2613006000 is 6003162.

It is a happy number.

2613006000 is a `hidden beast` number, since 2 + 61 + 3 + 0 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613006007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31481959 + ... + 31482041.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 2^2613006000 is an apocalyptic number.

2613006000 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 2613006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

2613006000 is an abundant number, since it is smaller than the sum of its proper divisors (7916320080).

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

2613006000 is a wasteful number, since it uses less digits than its factorization.

2613006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2613006000 is about 51117.5703647973. The cubic root of 2613006000 is about 1377.3578936917.

Adding to 2613006000 its reverse (6003162), we get a palindrome (2619009162).

The spelling of 2613006000 in words is "two billion, six hundred thirteen million, six thousand".