2657940 has 48 divisors (see below), whose sum is σ = 7687680. Its totient is φ = 685440.

The previous prime is 2657939. The next prime is 2657947. The reversal of 2657940 is 497562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657947) 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, 1146 + ... + 2574.

It is an arithmetic number, because the mean of its divisors is an integer number (160160).

2^2657940 is an apocalyptic number.

2657940 is a gapful number since it is divisible by the number (20) 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 2657940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843840).

2657940 is an abundant number, since it is smaller than the sum of its proper divisors (5029740).

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

2657940 is a wasteful number, since it uses less digits than its factorization.

2657940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2657940 is about 1630.3189871924. The cubic root of 2657940 is about 138.5208212429.

The spelling of 2657940 in words is "two million, six hundred fifty-seven thousand, nine hundred forty".