2649528 has 72 divisors (see below), whose sum is σ = 8358480. Its totient is φ = 756000.

The previous prime is 2649503. The next prime is 2649529. The reversal of 2649528 is 8259462.

It is a happy number.

2649528 is a `hidden beast` number, since 2 + 649 + 5 + 2 + 8 = 666.

2649528 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 (36).

It is a d-powerful number, because it can be written as 2 + 6⁴ + 4⁷ + 9⁶ + 5⁵ + 2⁷ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2649492 and 2649501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649529) 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, 3153 + ... + 3903.

It is an arithmetic number, because the mean of its divisors is an integer number (116090).

2^2649528 is an apocalyptic number.

2649528 is a gapful number since it is divisible by the number (28) 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 2649528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179240).

2649528 is an abundant number, since it is smaller than the sum of its proper divisors (5708952).

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

2649528 is a wasteful number, since it uses less digits than its factorization.

2649528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2649528 is about 1627.7370795064. The cubic root of 2649528 is about 138.3745339448.

The spelling of 2649528 in words is "two million, six hundred forty-nine thousand, five hundred twenty-eight".