2740830400 has 168 divisors, whose sum is σ = 8408676096. Its totient is φ = 854246400.

The previous prime is 2740830371. The next prime is 2740830403. The reversal of 2740830400 is 40380472.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2740830403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112077 + ... + 134323.

Almost surely, 2^2740830400 is an apocalyptic number.

2740830400 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 2740830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204338048).

2740830400 is an abundant number, since it is smaller than the sum of its proper divisors (5667845696).

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

2740830400 is a wasteful number, since it uses less digits than its factorization.

2740830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287 (or 22272 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2740830400 is about 52352.9407005948. The cubic root of 2740830400 is about 1399.4607446960.

The spelling of 2740830400 in words is "two billion, seven hundred forty million, eight hundred thirty thousand, four hundred".