2145727584 has 480 divisors, whose sum is σ = 8483118336. Its totient is φ = 513838080.

The previous prime is 2145727567. The next prime is 2145727601. The reversal of 2145727584 is 4857275412.

2145727584 is a `hidden beast` number, since 2 + 1 + 4 + 572 + 75 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2145727567) and next prime (2145727601).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594179 + ... + 2595005.

Almost surely, 2^2145727584 is an apocalyptic number.

2145727584 is a gapful number since it is divisible by the number (24) 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 2145727584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241559168).

2145727584 is an abundant number, since it is smaller than the sum of its proper divisors (6337390752).

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

2145727584 is a wasteful number, since it uses less digits than its factorization.

2145727584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 863 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The square root of 2145727584 is about 46321.9989205993. The cubic root of 2145727584 is about 1289.8073914704.

The spelling of 2145727584 in words is "two billion, one hundred forty-five million, seven hundred twenty-seven thousand, five hundred eighty-four".