2539730320 has 80 divisors (see below), whose sum is σ = 6179269680. Its totient is φ = 969725952.

The previous prime is 2539730309. The next prime is 2539730321. The reversal of 2539730320 is 230379352.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 167650704 + 2372079616 = 12948^2 + 48704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2539730321) 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, 148786 + ... + 164974.

It is an arithmetic number, because the mean of its divisors is an integer number (77240871).

Almost surely, 2^2539730320 is an apocalyptic number.

2539730320 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 2539730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089634840).

2539730320 is an abundant number, since it is smaller than the sum of its proper divisors (3639539360).

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

2539730320 is a wasteful number, since it uses less digits than its factorization.

2539730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 2539730320 is about 50395.7371213082. The cubic root of 2539730320 is about 1364.3607001511.

The spelling of 2539730320 in words is "two billion, five hundred thirty-nine million, seven hundred thirty thousand, three hundred twenty".