2743142400 has 216 divisors, whose sum is σ = 9825796890. Its totient is φ = 731381760.

The previous prime is 2743142383. The next prime is 2743142407. The reversal of 2743142400 is 42413472.

It can be written as a sum of positive squares in 3 ways, for example, as 1109689344 + 1633453056 = 33312^2 + 40416^2 .

It is not an unprimeable number, because it can be changed into a prime (2743142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 457824 + ... + 463776.

Almost surely, 2^2743142400 is an apocalyptic number.

2743142400 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 2743142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912898445).

2743142400 is an abundant number, since it is smaller than the sum of its proper divisors (7082654490).

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

2743142400 is a wasteful number, since it uses less digits than its factorization.

2743142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2743142400 is about 52375.0169451047. The cubic root of 2743142400 is about 1399.8541344627.

Adding to 2743142400 its reverse (42413472), we get a palindrome (2785555872).

The spelling of 2743142400 in words is "two billion, seven hundred forty-three million, one hundred forty-two thousand, four hundred".