2540400 has 120 divisors (see below), whose sum is σ = 8533680. Its totient is φ = 645120.

The previous prime is 2540393. The next prime is 2540407. The reversal of 2540400 is 40452.

It is an interprime number because it is at equal distance from previous prime (2540393) and next prime (2540407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2540400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540407) 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, 34764 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (71114).

2^2540400 is an apocalyptic number.

2540400 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 2540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266840).

2540400 is an abundant number, since it is smaller than the sum of its proper divisors (5993280).

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

2540400 is a wasteful number, since it uses less digits than its factorization.

2540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2540400 is about 1593.8632312717. The cubic root of 2540400 is about 136.4480608522.

Adding to 2540400 its reverse (40452), we get a palindrome (2580852).

The spelling of 2540400 in words is "two million, five hundred forty thousand, four hundred".