2196979200 has 600 divisors, whose sum is σ = 8810378808. Its totient is φ = 537477120.

The previous prime is 2196979189. The next prime is 2196979231. The reversal of 2196979200 is 29796912.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478319 + ... + 13478481.

Almost surely, 2^2196979200 is an apocalyptic number.

2196979200 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 2196979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405189404).

2196979200 is an abundant number, since it is smaller than the sum of its proper divisors (6613399608).

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

2196979200 is a wasteful number, since it uses less digits than its factorization.

2196979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 2196979200 is about 46871.9447004282. The cubic root of 2196979200 is about 1299.9958974230.

The spelling of 2196979200 in words is "two billion, one hundred ninety-six million, nine hundred seventy-nine thousand, two hundred".