2957840 has 20 divisors (see below), whose sum is σ = 6877164. Its totient is φ = 1183104.

The previous prime is 2957833. The next prime is 2957861. The reversal of 2957840 is 487592.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 2155024 = 896^2 + 1468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2957840.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 18407 + ... + 18566.

2^2957840 is an apocalyptic number.

2957840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2957840 is an abundant number, since it is smaller than the sum of its proper divisors (3919324).

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

2957840 is a wasteful number, since it uses less digits than its factorization.

2957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36986 (or 36980 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2957840 is about 1719.8372015979. The cubic root of 2957840 is about 143.5461534133.

The spelling of 2957840 in words is "two million, nine hundred fifty-seven thousand, eight hundred forty".