2540330000 has 100 divisors (see below), whose sum is σ = 6623839068. Its totient is φ = 937920000.

The previous prime is 2540329951. The next prime is 2540330011. The reversal of 2540330000 is 330452.

It can be written as a sum of positive squares in 10 ways, for example, as 2463732496 + 76597504 = 49636^2 + 8752^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 120230 + ... + 139770.

Almost surely, 2^2540330000 is an apocalyptic number.

2540330000 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 2540330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311919534).

2540330000 is an abundant number, since it is smaller than the sum of its proper divisors (4083509068).

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

2540330000 is a wasteful number, since it uses less digits than its factorization.

2540330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19582 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 2540330000 is about 50401.6864797201. The cubic root of 2540330000 is about 1364.4680757821.

Adding to 2540330000 its reverse (330452), we get a palindrome (2540660452).

The spelling of 2540330000 in words is "two billion, five hundred forty million, three hundred thirty thousand".