2196289440 has 144 divisors (see below), whose sum is σ = 7569545256. Its totient is φ = 579840000.

The previous prime is 2196289427. The next prime is 2196289441. The reversal of 2196289440 is 449826912.

2196289440 is a `hidden beast` number, since 2 + 19 + 628 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1888076304 + 308213136 = 43452^2 + 17556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2196289441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137890 + ... + 152990.

Almost surely, 2^2196289440 is an apocalyptic number.

2196289440 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 2196289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784772628).

2196289440 is an abundant number, since it is smaller than the sum of its proper divisors (5373255816).

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

2196289440 is a wasteful number, since it uses less digits than its factorization.

2196289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15223 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2196289440 is about 46864.5862032303. The cubic root of 2196289440 is about 1299.8598349867.

The spelling of 2196289440 in words is "two billion, one hundred ninety-six million, two hundred eighty-nine thousand, four hundred forty".