2541545460 has 72 divisors (see below), whose sum is σ = 7727396040. Its totient is φ = 676159488.

The previous prime is 2541545423. The next prime is 2541545467. The reversal of 2541545460 is 645451452.

2541545460 is a `hidden beast` number, since 2 + 54 + 1 + 545 + 4 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84162276 + 2457383184 = 9174^2 + 49572^2 .

It is a super-2 number, since 2×2541545460² = 12918906650493223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541545467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61636 + ... + 94244.

It is an arithmetic number, because the mean of its divisors is an integer number (107324945).

Almost surely, 2^2541545460 is an apocalyptic number.

2541545460 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 2541545460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863698020).

2541545460 is an abundant number, since it is smaller than the sum of its proper divisors (5185850580).

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

2541545460 is a wasteful number, since it uses less digits than its factorization.

2541545460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057 (or 33052 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2541545460 is about 50413.7427692093. The cubic root of 2541545460 is about 1364.6856580035.

The spelling of 2541545460 in words is "two billion, five hundred forty-one million, five hundred forty-five thousand, four hundred sixty".