2054764800 has 864 divisors, whose sum is σ = 8759439360. Its totient is φ = 466329600.

The previous prime is 2054764793. The next prime is 2054764801. The reversal of 2054764800 is 84674502.

2054764800 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 7 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (2054764801) 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, 43718377 + ... + 43718423.

It is an arithmetic number, because the mean of its divisors is an integer number (10138240).

Almost surely, 2^2054764800 is an apocalyptic number.

2054764800 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 2054764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379719680).

2054764800 is an abundant number, since it is smaller than the sum of its proper divisors (6704674560).

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

2054764800 is a wasteful number, since it uses less digits than its factorization.

2054764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2054764800 is about 45329.5135645641. The cubic root of 2054764800 is about 1271.3175406376.

It can be divided in two parts, 205476 and 4800, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2054764800 in words is "two billion, fifty-four million, seven hundred sixty-four thousand, eight hundred".