2541401100 has 216 divisors, whose sum is σ = 9500225280. Its totient is φ = 555603840.

The previous prime is 2541401089. The next prime is 2541401117. The reversal of 2541401100 is 11041452.

2541401100 is a `hidden beast` number, since 254 + 1 + 401 + 10 + 0 = 666.

2541401100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136131 + ... + 153669.

Almost surely, 2^2541401100 is an apocalyptic number.

2541401100 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 2541401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750112640).

2541401100 is an abundant number, since it is smaller than the sum of its proper divisors (6958824180).

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

2541401100 is a wasteful number, since it uses less digits than its factorization.

2541401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17589 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2541401100 is about 50412.3109964223. The cubic root of 2541401100 is about 1364.6598194268.

Adding to 2541401100 its reverse (11041452), we get a palindrome (2552442552).

The spelling of 2541401100 in words is "two billion, five hundred forty-one million, four hundred one thousand, one hundred".