2546400 has 72 divisors (see below), whose sum is σ = 8296344. Its totient is φ = 678400.

The previous prime is 2546393. The next prime is 2546429. The reversal of 2546400 is 46452.

It is a happy number.

2546400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1870 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (115227).

2^2546400 is an apocalyptic number.

2546400 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 2546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148172).

2546400 is an abundant number, since it is smaller than the sum of its proper divisors (5749944).

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

2546400 is a wasteful number, since it uses less digits than its factorization.

2546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2546400 is about 1595.7443404255. The cubic root of 2546400 is about 136.5553988928. Note that the first 3 decimals are identical.

The spelling of 2546400 in words is "two million, five hundred forty-six thousand, four hundred".