2275353679872 has 768 divisors, whose sum is σ = 7925299200000. Its totient is φ = 564085260288.

The previous prime is 2275353679867. The next prime is 2275353679889. The reversal of 2275353679872 is 2789763535722.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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, 758702629 + ... + 758705627.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400000).

Almost surely, 2^{2275353679872} 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 2275353679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600000).

2275353679872 is an abundant number, since it is smaller than the sum of its proper divisors (5649945520128).

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

2275353679872 is a wasteful number, since it uses less digits than its factorization.

2275353679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3106 counting only the distinct ones).

The product of its digits is 266716800, while the sum is 66.

The spelling of 2275353679872 in words is "two trillion, two hundred seventy-five billion, three hundred fifty-three million, six hundred seventy-nine thousand, eight hundred seventy-two".