2225347488000 has 3456 divisors, whose sum is σ = 10724544230400. Its totient is φ = 429981696000.

The previous prime is 2225347487999. The next prime is 2225347488029. The reversal of 2225347488000 is 8847435222.

2225347488000 is a `hidden beast` number, since 2 + 225 + 347 + 4 + 8 + 80 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20416031946 + ... + 20416032054.

Almost surely, 2^{2225347488000} is an apocalyptic number.

2225347488000 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 2225347488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362272115200).

2225347488000 is an abundant number, since it is smaller than the sum of its proper divisors (8499196742400).

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

2225347488000 is a wasteful number, since it uses less digits than its factorization.

2225347488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2225347488000 in words is "two trillion, two hundred twenty-five billion, three hundred forty-seven million, four hundred eighty-eight thousand".