2506128 has 40 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 825984.

The previous prime is 2506109. The next prime is 2506129. The reversal of 2506128 is 8216052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2506098 and 2506107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4993 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

2^2506128 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 2506128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2506128 is an abundant number, since it is smaller than the sum of its proper divisors (4041072).

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

2506128 is a wasteful number, since it uses less digits than its factorization.

2506128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2506128 is about 1583.0754877769. The cubic root of 2506128 is about 135.8316833536.

The spelling of 2506128 in words is "two million, five hundred six thousand, one hundred twenty-eight".