2541661452 has 72 divisors (see below), whose sum is σ = 7020271440. Its totient is φ = 768942720.

The previous prime is 2541661417. The next prime is 2541661453.

2541661452 is a `hidden beast` number, since 2 + 541 + 6 + 61 + 4 + 52 = 666.

2541661452 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (2541661453) 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, 253674 + ... + 263502.

It is an arithmetic number, because the mean of its divisors is an integer number (97503770).

Almost surely, 2^2541661452 is an apocalyptic number.

2541661452 is a gapful number since it is divisible by the number (22) 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 2541661452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510135720).

2541661452 is an abundant number, since it is smaller than the sum of its proper divisors (4478609988).

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

2541661452 is a wasteful number, since it uses less digits than its factorization.

2541661452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503 (or 10498 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2541661452 is about 50414.8931566854. The cubic root of 2541661452 is about 1364.7064183654.

It can be divided in two parts, 25416 and 61452, that added together give a palindrome (86868).

The spelling of 2541661452 in words is "two billion, five hundred forty-one million, six hundred sixty-one thousand, four hundred fifty-two".