2543778432 has 288 divisors, whose sum is σ = 8220974580. Its totient is φ = 779341824.

The previous prime is 2543778431. The next prime is 2543778467. The reversal of 2543778432 is 2348773452.

2543778432 is a `hidden beast` number, since 2 + 543 + 7 + 78 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2237668416 + 306110016 = 47304^2 + 17496^2 .

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

It is a super-2 number, since 2×2543778432² = 12941617422216757248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543778431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10917388 + ... + 10917620.

Almost surely, 2^2543778432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110487290).

2543778432 is an abundant number, since it is smaller than the sum of its proper divisors (5677196148).

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

2543778432 is an frugal number, since it uses more digits than its factorization.

2543778432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2543778432 is about 50435.8843681758. The cubic root of 2543778432 is about 1365.0852066120.

The spelling of 2543778432 in words is "two billion, five hundred forty-three million, seven hundred seventy-eight thousand, four hundred thirty-two".