2541411460 has 36 divisors (see below), whose sum is σ = 6208307532. Its totient is φ = 871340736.

The previous prime is 2541411449. The next prime is 2541411461. The reversal of 2541411460 is 641141452.

It can be written as a sum of positive squares in 2 ways, for example, as 1716113476 + 825297984 = 41426^2 + 28728^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2541411461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295659 + ... + 1297618.

It is an arithmetic number, because the mean of its divisors is an integer number (172452987).

Almost surely, 2^2541411460 is an apocalyptic number.

2541411460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541411460 is an abundant number, since it is smaller than the sum of its proper divisors (3666896072).

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

2541411460 is a wasteful number, since it uses less digits than its factorization.

2541411460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593300 (or 2593291 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2541411460 is about 50412.4137489964. The cubic root of 2541411460 is about 1364.6616737657.

The spelling of 2541411460 in words is "two billion, five hundred forty-one million, four hundred eleven thousand, four hundred sixty".