2202345538560 has 704 divisors, whose sum is σ = 7967461132800. Its totient is φ = 576833716224.

The previous prime is 2202345538517. The next prime is 2202345538583. The reversal of 2202345538560 is 658355432022.

2202345538560 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 3 + 4 + 55 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1950704076 + ... + 1950705204.

Almost surely, 2^{2202345538560} is an apocalyptic number.

2202345538560 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 2202345538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983730566400).

2202345538560 is an abundant number, since it is smaller than the sum of its proper divisors (5765115594240).

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

2202345538560 is a wasteful number, since it uses less digits than its factorization.

2202345538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2202345538560 in words is "two trillion, two hundred two billion, three hundred forty-five million, five hundred thirty-eight thousand, five hundred sixty".