2265475322880 has 2816 divisors, whose sum is σ = 10696541184000. Its totient is φ = 440952422400.

The previous prime is 2265475322827. The next prime is 2265475322893. The reversal of 2265475322880 is 882235745622.

2265475322880 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 4 + 7 + 532 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12656286631 + ... + 12656286809.

Almost surely, 2^{2265475322880} is an apocalyptic number.

2265475322880 is a gapful number since it is divisible by the number (20) 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 2265475322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348270592000).

2265475322880 is an abundant number, since it is smaller than the sum of its proper divisors (8431065861120).

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

2265475322880 is a wasteful number, since it uses less digits than its factorization.

2265475322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2265475322880 in words is "two trillion, two hundred sixty-five billion, four hundred seventy-five million, three hundred twenty-two thousand, eight hundred eighty".