2205333765408 has 48 divisors (see below), whose sum is σ = 5854046113440. Its totient is φ = 726851575296.

The previous prime is 2205333765403. The next prime is 2205333765433. The reversal of 2205333765408 is 8045673335022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2205333765403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129048910 + ... + 129065997.

It is an arithmetic number, because the mean of its divisors is an integer number (121959294030).

Almost surely, 2^{2205333765408} is an apocalyptic number.

It is an amenable number.

2205333765408 is an abundant number, since it is smaller than the sum of its proper divisors (3648712348032).

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

2205333765408 is a wasteful number, since it uses less digits than its factorization.

2205333765408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258115009 (or 258115001 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 2205333765408 in words is "two trillion, two hundred five billion, three hundred thirty-three million, seven hundred sixty-five thousand, four hundred eight".