2734400 has 42 divisors (see below), whose sum is σ = 6732270. Its totient is φ = 1093120.

The previous prime is 2734397. The next prime is 2734409. The reversal of 2734400 is 44372.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 2715904 = 136^2 + 1648^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 746 + ... + 2454.

2^2734400 is an apocalyptic number.

2734400 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 2734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366135).

2734400 is an abundant number, since it is smaller than the sum of its proper divisors (3997870).

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

2734400 is a wasteful number, since it uses less digits than its factorization.

2734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2734400 is about 1653.6021286876. The cubic root of 2734400 is about 139.8365439261.

Adding to 2734400 its reverse (44372), we get a palindrome (2778772).

The spelling of 2734400 in words is "two million, seven hundred thirty-four thousand, four hundred".