2054556000 has 576 divisors, whose sum is σ = 8634802176. Its totient is φ = 452736000.

The previous prime is 2054555999. The next prime is 2054556001. The reversal of 2054556000 is 6554502.

2054556000 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 55 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2054555999) and next prime (2054556001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054556001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7811869 + ... + 7812131.

It is an arithmetic number, because the mean of its divisors is an integer number (14990976).

Almost surely, 2^2054556000 is an apocalyptic number.

2054556000 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 2054556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317401088).

2054556000 is an abundant number, since it is smaller than the sum of its proper divisors (6580246176).

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

2054556000 is a wasteful number, since it uses less digits than its factorization.

2054556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2054556000 is about 45327.2103708137. The cubic root of 2054556000 is about 1271.2744764883.

The spelling of 2054556000 in words is "two billion, fifty-four million, five hundred fifty-six thousand".