2145582019584 has 132 divisors (see below), whose sum is σ = 6362763652804. Its totient is φ = 695864328192.

The previous prime is 2145582019577. The next prime is 2145582019601. The reversal of 2145582019584 is 4859102855412.

It is a happy number.

2145582019584 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 58 + 2 + 0 + 1 + 9 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1404054365184 + 741527654400 = 1184928^2 + 861120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2145582019584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805097 + ... + 3487080.

Almost surely, 2^{2145582019584} is an apocalyptic number.

2145582019584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2145582019584 is an abundant number, since it is smaller than the sum of its proper divisors (4217181633220).

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

2145582019584 is a wasteful number, since it uses less digits than its factorization.

2145582019584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292240 (or 6292219 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 2145582019584 in words is "two trillion, one hundred forty-five billion, five hundred eighty-two million, nineteen thousand, five hundred eighty-four".