2500400 has 120 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 794880.

The previous prime is 2500363. The next prime is 2500403. The reversal of 2500400 is 40052.

It is a sliding number, since 2500400 = 400 + 2500000 and 1/400 + 1/2500000 = 0.002500400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500403) 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, 53177 + ... + 53223.

It is an arithmetic number, because the mean of its divisors is an integer number (61504).

2^2500400 is an apocalyptic number.

2500400 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 2500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2500400 is an abundant number, since it is smaller than the sum of its proper divisors (4880080).

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

2500400 is a wasteful number, since it uses less digits than its factorization.

2500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2500400 is about 1581.2653161314. The cubic root of 2500400 is about 135.7281188907.

Adding to 2500400 its reverse (40052), we get a palindrome (2540452).

It can be divided in two parts, 2500 and 400, that multiplied together give a 6-th power (1000000 = 10⁶).

The spelling of 2500400 in words is "two million, five hundred thousand, four hundred".