2053541100 has 144 divisors (see below), whose sum is σ = 6487175072. Its totient is φ = 498493440.

The previous prime is 2053541099. The next prime is 2053541167. The reversal of 2053541100 is 11453502.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 281094 + ... + 288306.

Almost surely, 2^2053541100 is an apocalyptic number.

2053541100 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 2053541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243587536).

2053541100 is an abundant number, since it is smaller than the sum of its proper divisors (4433633972).

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

2053541100 is a wasteful number, since it uses less digits than its factorization.

2053541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2053541100 is about 45316.0137258343. The cubic root of 2053541100 is about 1271.0651159306.

Adding to 2053541100 its reverse (11453502), we get a palindrome (2064994602).

The spelling of 2053541100 in words is "two billion, fifty-three million, five hundred forty-one thousand, one hundred".