2723400 has 144 divisors (see below), whose sum is σ = 9792900. Its totient is φ = 675840.

The previous prime is 2723393. The next prime is 2723401. The reversal of 2723400 is 43272.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 933156 + 1790244 = 966^2 + 1338^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30556 + ... + 30644.

2^2723400 is an apocalyptic number.

2723400 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 2723400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896450).

2723400 is an abundant number, since it is smaller than the sum of its proper divisors (7069500).

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

2723400 is a wasteful number, since it uses less digits than its factorization.

2723400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2723400 is about 1650.2727047370. The cubic root of 2723400 is about 139.6487794876.

Adding to 2723400 its reverse (43272), we get a palindrome (2766672).

The spelling of 2723400 in words is "two million, seven hundred twenty-three thousand, four hundred".