2539533440 has 128 divisors (see below), whose sum is σ = 6586135920. Its totient is φ = 932577280.

The previous prime is 2539533433. The next prime is 2539533449. The reversal of 2539533440 is 443359352.

It can be written as a sum of positive squares in 8 ways, for example, as 326019136 + 2213514304 = 18056^2 + 47048^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2539533394 and 2539533403.

It is not an unprimeable number, because it can be changed into a prime (2539533449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443234 + ... + 448926.

Almost surely, 2^2539533440 is an apocalyptic number.

2539533440 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 2539533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293067960).

2539533440 is an abundant number, since it is smaller than the sum of its proper divisors (4046602480).

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

2539533440 is a wasteful number, since it uses less digits than its factorization.

2539533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The square root of 2539533440 is about 50393.7837436325. The cubic root of 2539533440 is about 1364.3254441407.

The spelling of 2539533440 in words is "two billion, five hundred thirty-nine million, five hundred thirty-three thousand, four hundred forty".