2169561600 has 360 divisors, whose sum is σ = 7989773220. Its totient is φ = 561807360.

The previous prime is 2169561577. The next prime is 2169561619. The reversal of 2169561600 is 61659612.

It can be written as a sum of positive squares in 6 ways, for example, as 1614110976 + 555450624 = 40176^2 + 23568^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4262146 + ... + 4262654.

Almost surely, 2^2169561600 is an apocalyptic number.

2169561600 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 2169561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994886610).

2169561600 is an abundant number, since it is smaller than the sum of its proper divisors (5820211620).

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

2169561600 is a wasteful number, since it uses less digits than its factorization.

2169561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2169561600 is about 46578.5530045750. The cubic root of 2169561600 is about 1294.5653993017.

The spelling of 2169561600 in words is "two billion, one hundred sixty-nine million, five hundred sixty-one thousand, six hundred".