2054118528 has 640 divisors, whose sum is σ = 7962071040. Its totient is φ = 510105600.

The previous prime is 2054118511. The next prime is 2054118541. The reversal of 2054118528 is 8258114502.

2054118528 is digitally balanced in base 4, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2054118492 and 2054118501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24748375 + ... + 24748457.

It is an arithmetic number, because the mean of its divisors is an integer number (12440736).

Almost surely, 2^2054118528 is an apocalyptic number.

2054118528 is a gapful number since it is divisible by the number (28) 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 2054118528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981035520).

2054118528 is an abundant number, since it is smaller than the sum of its proper divisors (5907952512).

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

2054118528 is a wasteful number, since it uses less digits than its factorization.

2054118528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2054118528 is about 45322.3844032946. The cubic root of 2054118528 is about 1271.1842402092.

The spelling of 2054118528 in words is "two billion, fifty-four million, one hundred eighteen thousand, five hundred twenty-eight".