2054049281100 has 1008 divisors, whose sum is σ = 7545315818880. Its totient is φ = 482049792000.

The previous prime is 2054049281051. The next prime is 2054049281107. The reversal of 2054049281100 is 11829404502.

2054049281100 is a `hidden beast` number, since 2 + 0 + 54 + 0 + 492 + 8 + 110 + 0 = 666.

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 (2054049281107) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1954375575 + ... + 1954376625.

It is an arithmetic number, because the mean of its divisors is an integer number (7485432360).

Almost surely, 2^{2054049281100} is an apocalyptic number.

2054049281100 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 2054049281100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772657909440).

2054049281100 is an abundant number, since it is smaller than the sum of its proper divisors (5491266537780).

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

2054049281100 is a wasteful number, since it uses less digits than its factorization.

2054049281100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2054049281100 in words is "two trillion, fifty-four billion, forty-nine million, two hundred eighty-one thousand, one hundred".