2205257230000 has 800 divisors, whose sum is σ = 6410483988480. Its totient is φ = 725760000000.

The previous prime is 2205257229991. The next prime is 2205257230021. The reversal of 2205257230000 is 327525022.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6543789832 + ... + 6543790168.

Almost surely, 2^{2205257230000} is an apocalyptic number.

2205257230000 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 2205257230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205241994240).

2205257230000 is an abundant number, since it is smaller than the sum of its proper divisors (4205226758480).

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

2205257230000 is a wasteful number, since it uses less digits than its factorization.

2205257230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The spelling of 2205257230000 in words is "two trillion, two hundred five billion, two hundred fifty-seven million, two hundred thirty thousand".