2506784 has 72 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 984960.

The previous prime is 2506783. The next prime is 2506799. The reversal of 2506784 is 4876052.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2506784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80849 + ... + 80879.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

2^2506784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2506784 is an abundant number, since it is smaller than the sum of its proper divisors (3637984).

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

2506784 is a wasteful number, since it uses less digits than its factorization.

2506784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2506784 is about 1583.2826658560. The cubic root of 2506784 is about 135.8435340134.

The spelling of 2506784 in words is "two million, five hundred six thousand, seven hundred eighty-four".