2657424 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 689280.

The previous prime is 2657407. The next prime is 2657429. The reversal of 2657424 is 4247562.

It is a junction number, because it is equal to n+sod(n) for n = 2657391 and 2657400.

It is not an unprimeable number, because it can be changed into a prime (2657429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3337 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

2^2657424 is an apocalyptic number.

2657424 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 2657424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

2657424 is an abundant number, since it is smaller than the sum of its proper divisors (5913456).

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

2657424 is a wasteful number, since it uses less digits than its factorization.

2657424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 2657424 is about 1630.1607282719. The cubic root of 2657424 is about 138.5118567354.

It can be divided in two parts, 2657 and 424, that added together give a triangular number (3081 = T₇₈).

The spelling of 2657424 in words is "two million, six hundred fifty-seven thousand, four hundred twenty-four".