2280365201664 has 576 divisors, whose sum is σ = 7666716960000. Its totient is φ = 662233743360.

The previous prime is 2280365201657. The next prime is 2280365201671. The reversal of 2280365201664 is 4661025630822.

2280365201664 is a `hidden beast` number, since 2 + 2 + 80 + 36 + 520 + 16 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2280365201657) and next prime (2280365201671).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302071362 + ... + 302078910.

It is an arithmetic number, because the mean of its divisors is an integer number (13310272500).

Almost surely, 2^{2280365201664} is an apocalyptic number.

2280365201664 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 2280365201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833358480000).

2280365201664 is an abundant number, since it is smaller than the sum of its proper divisors (5386351758336).

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

2280365201664 is a wasteful number, since it uses less digits than its factorization.

2280365201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2280365201664 in words is "two trillion, two hundred eighty billion, three hundred sixty-five million, two hundred one thousand, six hundred sixty-four".