2541005440 has 32 divisors (see below), whose sum is σ = 6074592660. Its totient is φ = 1016401920.

The previous prime is 2541005399. The next prime is 2541005461. The reversal of 2541005440 is 445001452.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2451438144 + 89567296 = 49512^2 + 9464^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2541005440² = 12913417292219187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1984521 + ... + 1985800.

Almost surely, 2^2541005440 is an apocalyptic number.

2541005440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541005440 is an abundant number, since it is smaller than the sum of its proper divisors (3533587220).

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

2541005440 is an equidigital number, since it uses as much as digits as its factorization.

2541005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970340 (or 3970328 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2541005440 is about 50408.3866038182. The cubic root of 2541005440 is about 1364.5889963774.

Adding to 2541005440 its reverse (445001452), we get a palindrome (2986006892).

The spelling of 2541005440 in words is "two billion, five hundred forty-one million, five thousand, four hundred forty".