2541168100 has 45 divisors (see below), whose sum is σ = 5593110985. Its totient is φ = 1002150800.

The previous prime is 2541168079. The next prime is 2541168101. The reversal of 2541168100 is 18611452.

The square root of 2541168100 is 50410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 914820516 + 1626347584 = 30246^2 + 40328^2 .

It is a super-2 number, since 2×2541168100² = 12915070624915220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2541168101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35791065 + ... + 35791135.

Almost surely, 2^2541168100 is an apocalyptic number.

2541168100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2541168100 is the 50410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541168100

2541168100 is an abundant number, since it is smaller than the sum of its proper divisors (3051942885).

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

2541168100 is an frugal number, since it uses more digits than its factorization.

2541168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 2541168100 is about 1364.6181133700.

Adding to 2541168100 its reverse (18611452), we get a palindrome (2559779552).

The spelling of 2541168100 in words is "two billion, five hundred forty-one million, one hundred sixty-eight thousand, one hundred".