2532959440 has 80 divisors (see below), whose sum is σ = 6483692160. Its totient is φ = 912591360.

The previous prime is 2532959437. The next prime is 2532959449. The reversal of 2532959440 is 449592352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2532959440² = 12831767049370227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532959449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82717 + ... + 109123.

It is an arithmetic number, because the mean of its divisors is an integer number (81046152).

Almost surely, 2^2532959440 is an apocalyptic number.

2532959440 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 2532959440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241846080).

2532959440 is an abundant number, since it is smaller than the sum of its proper divisors (3950732720).

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

2532959440 is a wasteful number, since it uses less digits than its factorization.

2532959440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26540 (or 26534 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 2532959440 is about 50328.5151777797. The cubic root of 2532959440 is about 1363.1471665633.

The spelling of 2532959440 in words is "two billion, five hundred thirty-two million, nine hundred fifty-nine thousand, four hundred forty".