2778543432 has 384 divisors, whose sum is σ = 9710064000. Its totient is φ = 731566080.

The previous prime is 2778543377. The next prime is 2778543433. The reversal of 2778543432 is 2343458772.

2778543432 is a `hidden beast` number, since 2 + 7 + 78 + 543 + 4 + 32 = 666.

It is a super-3 number, since 3×2778543432³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2778543433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8244768 + ... + 8245104.

It is an arithmetic number, because the mean of its divisors is an integer number (25286625).

Almost surely, 2^2778543432 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 2778543432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032000).

2778543432 is an abundant number, since it is smaller than the sum of its proper divisors (6931520568).

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

2778543432 is a wasteful number, since it uses less digits than its factorization.

2778543432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

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

The square root of 2778543432 is about 52711.8908027401. The cubic root of 2778543432 is about 1405.8502525277.

It can be divided in two parts, 27785 and 43432, that added together give a palindrome (71217).

The spelling of 2778543432 in words is "two billion, seven hundred seventy-eight million, five hundred forty-three thousand, four hundred thirty-two".