2220345322400 has 72 divisors (see below), whose sum is σ = 5420676140460. Its totient is φ = 888095836160.

The previous prime is 2220345322373. The next prime is 2220345322441. The reversal of 2220345322400 is 42235430222.

It can be written as a sum of positive squares in 6 ways, for example, as 1187219443216 + 1033125879184 = 1089596^2 + 1016428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20898212 + ... + 21004188.

Almost surely, 2^{2220345322400} is an apocalyptic number.

2220345322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220345322400 is an abundant number, since it is smaller than the sum of its proper divisors (3200330818060).

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

2220345322400 is a wasteful number, since it uses less digits than its factorization.

2220345322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132186 (or 132173 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The spelling of 2220345322400 in words is "two trillion, two hundred twenty billion, three hundred forty-five million, three hundred twenty-two thousand, four hundred".