2505384 has 64 divisors (see below), whose sum is σ = 7958400. Its totient is φ = 715392.

The previous prime is 2505383. The next prime is 2505401. The reversal of 2505384 is 4835052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2505383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684 + ... + 2340.

It is an arithmetic number, because the mean of its divisors is an integer number (124350).

2^2505384 is an apocalyptic number.

2505384 is a gapful number since it is divisible by the number (24) 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 2505384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979200).

2505384 is an abundant number, since it is smaller than the sum of its proper divisors (5453016).

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

2505384 is a wasteful number, since it uses less digits than its factorization.

2505384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2505384 is about 1582.8404846983. The cubic root of 2505384 is about 135.8182404682.

The spelling of 2505384 in words is "two million, five hundred five thousand, three hundred eighty-four".