2054384640 has 704 divisors, whose sum is σ = 9149598720. Its totient is φ = 424673280.

The previous prime is 2054384623. The next prime is 2054384653. The reversal of 2054384640 is 464834502.

2054384640 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 3 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 2054384595 and 2054384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644384 + ... + 10644576.

Almost surely, 2^2054384640 is an apocalyptic number.

2054384640 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 2054384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574799360).

2054384640 is an abundant number, since it is smaller than the sum of its proper divisors (7095214080).

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

2054384640 is a wasteful number, since it uses less digits than its factorization.

2054384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2054384640 is about 45325.3200760899. The cubic root of 2054384640 is about 1271.2391320065.

The spelling of 2054384640 in words is "two billion, fifty-four million, three hundred eighty-four thousand, six hundred forty".