2939040 has 144 divisors (see below), whose sum is σ = 10869768. Its totient is φ = 718848.

The previous prime is 2939039. The next prime is 2939059. The reversal of 2939040 is 409392.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 1411344 = 1236^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2939040² = 17275912243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2938995 and 2939013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18642 + ... + 18798.

2^2939040 is an apocalyptic number.

2939040 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 2939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434884).

2939040 is an abundant number, since it is smaller than the sum of its proper divisors (7930728).

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

2939040 is a wasteful number, since it uses less digits than its factorization.

2939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2939040 is about 1714.3628554072. The cubic root of 2939040 is about 143.2413808397.

The spelling of 2939040 in words is "two million, nine hundred thirty-nine thousand, forty".