2193292416 has 128 divisors (see below), whose sum is σ = 6689894400. Its totient is φ = 623674368.

The previous prime is 2193292411. The next prime is 2193292427. The reversal of 2193292416 is 6142923912.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2193292411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597595 + ... + 601253.

It is an arithmetic number, because the mean of its divisors is an integer number (52264800).

Almost surely, 2^2193292416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344947200).

2193292416 is an abundant number, since it is smaller than the sum of its proper divisors (4496601984).

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

2193292416 is a wasteful number, since it uses less digits than its factorization.

2193292416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3894 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 2193292416 is about 46832.5999278281. The cubic root of 2193292416 is about 1299.2683093578.

The spelling of 2193292416 in words is "two billion, one hundred ninety-three million, two hundred ninety-two thousand, four hundred sixteen".