2054528064 has 336 divisors, whose sum is σ = 6823252800. Its totient is φ = 609140736.

The previous prime is 2054528059. The next prime is 2054528101. The reversal of 2054528064 is 4608254502.

It is a happy number.

2054528064 is a `hidden beast` number, since 20 + 54 + 528 + 0 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5023092 + ... + 5023500.

It is an arithmetic number, because the mean of its divisors is an integer number (20307300).

Almost surely, 2^2054528064 is an apocalyptic number.

2054528064 is a gapful number since it is divisible by the number (24) 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 2054528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411626400).

2054528064 is an abundant number, since it is smaller than the sum of its proper divisors (4768724736).

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

2054528064 is a wasteful number, since it uses less digits than its factorization.

2054528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2054528064 is about 45326.9022104975. The cubic root of 2054528064 is about 1271.2687145808.

The spelling of 2054528064 in words is "two billion, fifty-four million, five hundred twenty-eight thousand, sixty-four".