2139040 has 48 divisors (see below), whose sum is σ = 5239080. Its totient is φ = 824320.

The previous prime is 2139013. The next prime is 2139043. The reversal of 2139040 is 409312.

It can be written as a sum of positive squares in 4 ways, for example, as 1567504 + 571536 = 1252^2 + 756^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2138999 and 2139017.

It is not an unprimeable number, because it can be changed into a prime (2139043) 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 7 ways as a sum of consecutive naturals, for example, 4410 + ... + 4870.

2^2139040 is an apocalyptic number.

2139040 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 2139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619540).

2139040 is an abundant number, since it is smaller than the sum of its proper divisors (3100040).

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

2139040 is a wasteful number, since it uses less digits than its factorization.

2139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2139040 is about 1462.5457257809. The cubic root of 2139040 is about 128.8466017086.

It can be divided in two parts, 21 and 39040, that multiplied together give a triangular number (819840 = T₁₂₈₀).

The spelling of 2139040 in words is "two million, one hundred thirty-nine thousand, forty".