2616012000 has 432 divisors, whose sum is σ = 10807301232. Its totient is φ = 597542400.

The previous prime is 2616011989. The next prime is 2616012041. The reversal of 2616012000 is 2106162.

It is a happy number.

2616012000 is a `hidden beast` number, since 2 + 61 + 601 + 2 + 0 + 0 + 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 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 71 ways as a sum of consecutive naturals, for example, 1763259 + ... + 1764741.

It is an arithmetic number, because the mean of its divisors is an integer number (25016901).

Almost surely, 2^2616012000 is an apocalyptic number.

2616012000 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 2616012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403650616).

2616012000 is an abundant number, since it is smaller than the sum of its proper divisors (8191289232).

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

2616012000 is a wasteful number, since it uses less digits than its factorization.

2616012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2616012000 is about 51146.9647193262. The cubic root of 2616012000 is about 1377.8858617563.

Adding to 2616012000 its reverse (2106162), we get a palindrome (2618118162).

The spelling of 2616012000 in words is "two billion, six hundred sixteen million, twelve thousand".