2191456824 has 64 divisors (see below), whose sum is σ = 5588006400. Its totient is φ = 715977984.

The previous prime is 2191456783. The next prime is 2191456853. The reversal of 2191456824 is 4286541912.

2191456824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2191456824² = 9604966022912333952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517564 + ... + 521780.

It is an arithmetic number, because the mean of its divisors is an integer number (87312600).

Almost surely, 2^2191456824 is an apocalyptic number.

2191456824 is a gapful number since it is divisible by the number (24) 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 2191456824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794003200).

2191456824 is an abundant number, since it is smaller than the sum of its proper divisors (3396549576).

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

2191456824 is a wasteful number, since it uses less digits than its factorization.

With its successor (2191456825) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4648).

With its successor (2191456825) it forms an eRAP, since the sums of their prime factors are consecutive (4652 and 4653).

2191456824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4648 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2191456824 is about 46812.9984512849. The cubic root of 2191456824 is about 1298.9057505959.

The spelling of 2191456824 in words is "two billion, one hundred ninety-one million, four hundred fifty-six thousand, eight hundred twenty-four".