2191478400 has 288 divisors, whose sum is σ = 7991006400. Its totient is φ = 571607040.

The previous prime is 2191478389. The next prime is 2191478501. The reversal of 2191478400 is 48741912.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1352791 + ... + 1354409.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 2^2191478400 is an apocalyptic number.

2191478400 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 2191478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995503200).

2191478400 is an abundant number, since it is smaller than the sum of its proper divisors (5799528000).

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

2191478400 is a wasteful number, since it uses less digits than its factorization.

2191478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2191478400 is about 46813.2288995322. The cubic root of 2191478400 is about 1298.9100133765.

The spelling of 2191478400 in words is "two billion, one hundred ninety-one million, four hundred seventy-eight thousand, four hundred".