2193139200 has 480 divisors, whose sum is σ = 8524454400. Its totient is φ = 486604800.

The previous prime is 2193139189. The next prime is 2193139211. The reversal of 2193139200 is 29313912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2193139189) and next prime (2193139211).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11020701 + ... + 11020899.

It is an arithmetic number, because the mean of its divisors is an integer number (17759280).

Almost surely, 2^2193139200 is an apocalyptic number.

2193139200 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 2193139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262227200).

2193139200 is an abundant number, since it is smaller than the sum of its proper divisors (6331315200).

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

2193139200 is a wasteful number, since it uses less digits than its factorization.

2193139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2193139200 is about 46830.9641156361. The cubic root of 2193139200 is about 1299.2380544881.

The spelling of 2193139200 in words is "two billion, one hundred ninety-three million, one hundred thirty-nine thousand, two hundred".