2540200 has 48 divisors (see below), whose sum is σ = 6366780. Its totient is φ = 936960.

The previous prime is 2540183. The next prime is 2540201. The reversal of 2540200 is 20452.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1085764 + 1454436 = 1042^2 + 1206^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2540201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2112 + ... + 3088.

2^2540200 is an apocalyptic number.

2540200 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 2540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183390).

2540200 is an abundant number, since it is smaller than the sum of its proper divisors (3826580).

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

2540200 is a wasteful number, since it uses less digits than its factorization.

2540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2540200 is about 1593.8004893963. The cubic root of 2540200 is about 136.4444800082. Note that the first 4 decimals are identical.

Adding to 2540200 its reverse (20452), we get a palindrome (2560652).

The spelling of 2540200 in words is "two million, five hundred forty thousand, two hundred".