2084364576 has 288 divisors, whose sum is σ = 7099747200. Its totient is φ = 589234176.

The previous prime is 2084364563. The next prime is 2084364593. The reversal of 2084364576 is 6754634802.

2084364576 is a `hidden beast` number, since 208 + 436 + 4 + 5 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 8110240 + ... + 8110496.

It is an arithmetic number, because the mean of its divisors is an integer number (24651900).

Almost surely, 2^2084364576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084364576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549873600).

2084364576 is an abundant number, since it is smaller than the sum of its proper divisors (5015382624).

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

2084364576 is a wasteful number, since it uses less digits than its factorization.

2084364576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2084364576 is about 45654.8417585693. The cubic root of 2084364576 is about 1277.3930861567.

The spelling of 2084364576 in words is "two billion, eighty-four million, three hundred sixty-four thousand, five hundred seventy-six".