2264641621416 has 160 divisors (see below), whose sum is σ = 6648048095040. Its totient is φ = 718877693952.

The previous prime is 2264641621409. The next prime is 2264641621447. The reversal of 2264641621416 is 6141261464622.

2264641621416 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 4 + 1 + 621 + 4 + 16 = 666.

It is a super-3 number, since 3×2264641621416³ (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3048520 + ... + 3717896.

It is an arithmetic number, because the mean of its divisors is an integer number (41550300594).

Almost surely, 2^{2264641621416} 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 2264641621416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324024047520).

2264641621416 is an abundant number, since it is smaller than the sum of its proper divisors (4383406473624).

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

2264641621416 is a wasteful number, since it uses less digits than its factorization.

2264641621416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669645 (or 669632 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 2264641621416 in words is "two trillion, two hundred sixty-four billion, six hundred forty-one million, six hundred twenty-one thousand, four hundred sixteen".