2196849600 has 840 divisors, whose sum is σ = 9329367168. Its totient is φ = 501811200.

The previous prime is 2196849569. The next prime is 2196849643. The reversal of 2196849600 is 69486912.

It is a happy number.

It is a super-2 number, since 2×2196849600² = 9652296330040320000, which contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32788767 + ... + 32788833.

Almost surely, 2^2196849600 is an apocalyptic number.

2196849600 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 2196849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664683584).

2196849600 is an abundant number, since it is smaller than the sum of its proper divisors (7132517568).

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

2196849600 is a wasteful number, since it uses less digits than its factorization.

2196849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2196849600 is about 46870.5621899290. The cubic root of 2196849600 is about 1299.9703346288.

The spelling of 2196849600 in words is "two billion, one hundred ninety-six million, eight hundred forty-nine thousand, six hundred".