2191400568 has 320 divisors, whose sum is σ = 7555046400. Its totient is φ = 579467520.

The previous prime is 2191400543. The next prime is 2191400581. The reversal of 2191400568 is 8650041912.

2191400568 is a `hidden beast` number, since 2 + 1 + 91 + 4 + 0 + 0 + 568 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4050378 + ... + 4050918.

It is an arithmetic number, because the mean of its divisors is an integer number (23609520).

Almost surely, 2^2191400568 is an apocalyptic number.

2191400568 is a gapful number since it is divisible by the number (28) 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 2191400568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777523200).

2191400568 is an abundant number, since it is smaller than the sum of its proper divisors (5363645832).

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

2191400568 is a wasteful number, since it uses less digits than its factorization.

2191400568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2191400568 is about 46812.3975886730. The cubic root of 2191400568 is about 1298.8946359398.

The spelling of 2191400568 in words is "two billion, one hundred ninety-one million, four hundred thousand, five hundred sixty-eight".