2958640 has 40 divisors (see below), whose sum is σ = 7106688. Its totient is φ = 1144320.

The previous prime is 2958607. The next prime is 2958647. The reversal of 2958640 is 468592.

It is a happy number.

2958640 is digitally balanced in base 5, 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 2958596 and 2958605.

It is not an unprimeable number, because it can be changed into a prime (2958647) 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, 1884 + ... + 3076.

2^2958640 is an apocalyptic number.

2958640 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 2958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553344).

2958640 is an abundant number, since it is smaller than the sum of its proper divisors (4148048).

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

2958640 is a wasteful number, since it uses less digits than its factorization.

2958640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2958640 is about 1720.0697660269. The cubic root of 2958640 is about 143.5590937765.

The spelling of 2958640 in words is "two million, nine hundred fifty-eight thousand, six hundred forty".