2193542400 has 432 divisors, whose sum is σ = 8718886400. Its totient is φ = 474439680.

The previous prime is 2193542369. The next prime is 2193542473. The reversal of 2193542400 is 42453912.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553171 + ... + 2554029.

Almost surely, 2^2193542400 is an apocalyptic number.

2193542400 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 2193542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359443200).

2193542400 is an abundant number, since it is smaller than the sum of its proper divisors (6525344000).

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

2193542400 is a wasteful number, since it uses less digits than its factorization.

2193542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2193542400 is about 46835.2687619063. The cubic root of 2193542400 is about 1299.3176695416.

The spelling of 2193542400 in words is "two billion, one hundred ninety-three million, five hundred forty-two thousand, four hundred".