2072538 has 48 divisors (see below), whose sum is σ = 5130216. Its totient is φ = 599040.

The previous prime is 2072531. The next prime is 2072549. The reversal of 2072538 is 8352702.

It can be written as a sum of positive squares in 4 ways, for example, as 1505529 + 567009 = 1227^2 + 753^2 .

It is a super-2 number, since 2×2072538² = 8590827522888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3718 + ... + 4238.

2^2072538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565108).

2072538 is an abundant number, since it is smaller than the sum of its proper divisors (3057678).

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

2072538 is a wasteful number, since it uses less digits than its factorization.

2072538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2072538 is about 1439.6312027738. The cubic root of 2072538 is about 127.4972548429.

The spelling of 2072538 in words is "two million, seventy-two thousand, five hundred thirty-eight".