2714400 has 216 divisors, whose sum is σ = 10663380. Its totient is φ = 645120.

The previous prime is 2714389. The next prime is 2714419. The reversal of 2714400 is 44172.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 535824 + 2178576 = 732^2 + 1476^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93586 + ... + 93614.

2^2714400 is an apocalyptic number.

2714400 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 2714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331690).

2714400 is an abundant number, since it is smaller than the sum of its proper divisors (7948980).

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

2714400 is a wasteful number, since it uses less digits than its factorization.

2714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2714400 is about 1647.5436261295. The cubic root of 2714400 is about 139.4947776208.

Adding to 2714400 its reverse (44172), we get a palindrome (2758572).

The spelling of 2714400 in words is "two million, seven hundred fourteen thousand, four hundred".