2048052045100 has 144 divisors (see below), whose sum is σ = 4698431781120. Its totient is φ = 772750368000.

The previous prime is 2048052045071. The next prime is 2048052045103. The reversal of 2048052045100 is 15402508402.

It is not an unprimeable number, because it can be changed into a prime (2048052045103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077354150 + ... + 1077356050.

It is an arithmetic number, because the mean of its divisors is an integer number (32627998480).

Almost surely, 2^{2048052045100} is an apocalyptic number.

2048052045100 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 2048052045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349215890560).

2048052045100 is an abundant number, since it is smaller than the sum of its proper divisors (2650379736020).

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

2048052045100 is a wasteful number, since it uses less digits than its factorization.

2048052045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 2048052045100 in words is "two trillion, forty-eight billion, fifty-two million, forty-five thousand, one hundred".