2740400 has 120 divisors (see below), whose sum is σ = 7749504. Its totient is φ = 921600.

The previous prime is 2740393. The next prime is 2740403. The reversal of 2740400 is 40472.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2740403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88385 + ... + 88415.

2^2740400 is an apocalyptic number.

2740400 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 2740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752).

2740400 is an abundant number, since it is smaller than the sum of its proper divisors (5009104).

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

2740400 is a wasteful number, since it uses less digits than its factorization.

2740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2740400 is about 1655.4153557340. The cubic root of 2740400 is about 139.9387487161.

Adding to 2740400 its reverse (40472), we get a palindrome (2780872).

The spelling of 2740400 in words is "two million, seven hundred forty thousand, four hundred".