2540059201 has 9 divisors (see below), whose sum is σ = 2570608803. Its totient is φ = 2509870200.

The previous prime is 2540059187. The next prime is 2540059219. The reversal of 2540059201 is 1029500452.

The square root of 2540059201 is 50399.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2440458801 + 99600400 = 49401^2 + 9980^2 .

It is not a de Polignac number, because 2540059201 - 2¹¹ = 2540057153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2540059201.

It is not an unprimeable number, because it can be changed into a prime (2540059261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5090050 + ... + 5090548.

Almost surely, 2^2540059201 is an apocalyptic number.

2540059201 is the 50399-th square number.

2540059201 is the 25200-th centered octagonal number.

It is an amenable number.

2540059201 is a deficient number, since it is larger than the sum of its proper divisors (30549602).

2540059201 is an frugal number, since it uses more digits than its factorization.

2540059201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 2540059201 is about 1364.4195899921.

Multiplying 2540059201 by its product of nonzero digits (3600), we get a square (9144213123600 = 3023940²).

Adding to 2540059201 its reverse (1029500452), we get a palindrome (3569559653).

The spelling of 2540059201 in words is "two billion, five hundred forty million, fifty-nine thousand, two hundred one".