2561400 has 72 divisors (see below), whose sum is σ = 8608080. Its totient is φ = 682560.

The previous prime is 2561389. The next prime is 2561401. The reversal of 2561400 is 41652.

It is a happy number.

2561400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (2561401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1089 + ... + 2511.

2^2561400 is an apocalyptic number.

2561400 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 2561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304040).

2561400 is an abundant number, since it is smaller than the sum of its proper divisors (6046680).

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

2561400 is a wasteful number, since it uses less digits than its factorization.

2561400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2561400 is about 1600.4374402019. The cubic root of 2561400 is about 136.8230083389.

It can be divided in two parts, 25 and 61400, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 2561400 in words is "two million, five hundred sixty-one thousand, four hundred".