2161616800 has 144 divisors (see below), whose sum is σ = 6076486080. Its totient is φ = 735528960.

The previous prime is 2161616789. The next prime is 2161616857. The reversal of 2161616800 is 86161612.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777012 + ... + 779788.

It is an arithmetic number, because the mean of its divisors is an integer number (42197820).

Almost surely, 2^2161616800 is an apocalyptic number.

2161616800 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 2161616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038243040).

2161616800 is an abundant number, since it is smaller than the sum of its proper divisors (3914869280).

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

2161616800 is a wasteful number, since it uses less digits than its factorization.

2161616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 2161616800 is about 46493.1908993134. The cubic root of 2161616800 is about 1292.9832604326.

It can be divided in two parts, 21616 and 16800, that added together give a 4-th power (38416 = 14⁴).

The spelling of 2161616800 in words is "two billion, one hundred sixty-one million, six hundred sixteen thousand, eight hundred".