2195121600 has 1008 divisors, whose sum is σ = 10017617760. Its totient is φ = 464486400.

The previous prime is 2195121581. The next prime is 2195121611. The reversal of 2195121600 is 61215912.

2195121600 is a `hidden beast` number, since 2 + 1 + 9 + 51 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35985570 + ... + 35985630.

Almost surely, 2^2195121600 is an apocalyptic number.

2195121600 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 2195121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008808880).

2195121600 is an abundant number, since it is smaller than the sum of its proper divisors (7822496160).

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

2195121600 is a wasteful number, since it uses less digits than its factorization.

2195121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 2195121600 is about 46852.1248184114. The cubic root of 2195121600 is about 1299.6294012646.

The spelling of 2195121600 in words is "two billion, one hundred ninety-five million, one hundred twenty-one thousand, six hundred".