2164801425984 has 448 divisors, whose sum is σ = 7044127948800. Its totient is φ = 648904089600.

The previous prime is 2164801425973. The next prime is 2164801425989. The reversal of 2164801425984 is 4895241084612.

2164801425984 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 8 + 0 + 1 + 42 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2164801425984.

It is not an unprimeable number, because it can be changed into a prime (2164801425989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71926779 + ... + 71956869.

Almost surely, 2^{2164801425984} is an apocalyptic number.

2164801425984 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 2164801425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522063974400).

2164801425984 is an abundant number, since it is smaller than the sum of its proper divisors (4879326522816).

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

2164801425984 is a wasteful number, since it uses less digits than its factorization.

2164801425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30239 (or 30223 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2164801425984 in words is "two trillion, one hundred sixty-four billion, eight hundred one million, four hundred twenty-five thousand, nine hundred eighty-four".