2054178000 has 720 divisors, whose sum is σ = 8901354384. Its totient is φ = 438681600.

The previous prime is 2054177999. The next prime is 2054178011. The reversal of 2054178000 is 8714502.

It can be written as a sum of positive squares in 8 ways, for example, as 332259984 + 1721918016 = 18228^2 + 41496^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14993932 + ... + 14994068.

It is a vampire number, since it can be written as 40278 ⋅ 51000 (with its own digits).

Almost surely, 2^2054178000 is an apocalyptic number.

2054178000 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 2054178000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450677192).

2054178000 is an abundant number, since it is smaller than the sum of its proper divisors (6847176384).

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

2054178000 is a wasteful number, since it uses less digits than its factorization.

2054178000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2054178000 is about 45323.0404981837. The cubic root of 2054178000 is about 1271.1965081056.

The spelling of 2054178000 in words is "two billion, fifty-four million, one hundred seventy-eight thousand".