2616871200 has 288 divisors, whose sum is σ = 9314403840. Its totient is φ = 635289600.

The previous prime is 2616871199. The next prime is 2616871277. The reversal of 2616871200 is 21786162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263766 + ... + 1265834.

It is an arithmetic number, because the mean of its divisors is an integer number (32341680).

Almost surely, 2^2616871200 is an apocalyptic number.

2616871200 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 2616871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657201920).

2616871200 is an abundant number, since it is smaller than the sum of its proper divisors (6697532640).

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

2616871200 is a wasteful number, since it uses less digits than its factorization.

2616871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2616871200 is about 51155.3633551752. The cubic root of 2616871200 is about 1378.0366956650.

The spelling of 2616871200 in words is "two billion, six hundred sixteen million, eight hundred seventy-one thousand, two hundred".