2540000001 has 32 divisors (see below), whose sum is σ = 4224900096. Its totient is φ = 1318680000.

The previous prime is 2539999993. The next prime is 2540000011. The reversal of 2540000001 is 1000000452.

It is not a de Polignac number, because 2540000001 - 2³ = 2539999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2540000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684451 + ... + 688151.

It is an arithmetic number, because the mean of its divisors is an integer number (132028128).

Almost surely, 2^2540000001 is an apocalyptic number.

2540000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2540000001 is a deficient number, since it is larger than the sum of its proper divisors (1684900095).

2540000001 is a wasteful number, since it uses less digits than its factorization.

2540000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2540000001 is about 50398.4126833376. The cubic root of 2540000001 is about 1364.4089899416.

Adding to 2540000001 its reverse (1000000452), we get a palindrome (3540000453).

The spelling of 2540000001 in words is "two billion, five hundred forty million, one", and thus it is an aban number.