2165004215424 has 448 divisors, whose sum is σ = 6733729873080. Its totient is φ = 692449689600.

The previous prime is 2165004215351. The next prime is 2165004215441. The reversal of 2165004215424 is 4245124005612.

2165004215424 is a `hidden beast` number, since 2 + 16 + 5 + 0 + 0 + 4 + 215 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1042506345024 + 1122497870400 = 1021032^2 + 1059480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 233368674 + ... + 233377950.

Almost surely, 2^{2165004215424} is an apocalyptic number.

2165004215424 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 2165004215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366864936540).

2165004215424 is an abundant number, since it is smaller than the sum of its proper divisors (4568725657656).

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

2165004215424 is an frugal number, since it uses more digits than its factorization.

2165004215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2165004215424 in words is "two trillion, one hundred sixty-five billion, four million, two hundred fifteen thousand, four hundred twenty-four".