2540032 has 60 divisors (see below), whose sum is σ = 5714478. Its totient is φ = 1126400.

The previous prime is 2540011. The next prime is 2540033. The reversal of 2540032 is 2300452.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 30976 = 1584^2 + 176^2 .

It is a super-2 number, since 2×2540032² = 12903525122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2539988 and 2540015.

It is not an unprimeable number, because it can be changed into a prime (2540033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61932 + ... + 61972.

2^2540032 is an apocalyptic number.

2540032 is a gapful number since it is divisible by the number (22) 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 2540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857239).

2540032 is an abundant number, since it is smaller than the sum of its proper divisors (3174446).

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

2540032 is an equidigital number, since it uses as much as digits as its factorization.

2540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2540032 is about 1593.7477843122. The cubic root of 2540032 is about 136.4414719540.

Adding to 2540032 its reverse (2300452), we get a palindrome (4840484).

The spelling of 2540032 in words is "two million, five hundred forty thousand, thirty-two".