2225070489600 has 1620 divisors, whose sum is σ = 9580776159136. Its totient is φ = 483490529280.

The previous prime is 2225070489599. The next prime is 2225070489611. The reversal of 2225070489600 is 69840705222.

2225070489600 is a `hidden beast` number, since 2 + 2 + 2 + 507 + 0 + 4 + 89 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13650739119 + ... + 13650739281.

Almost surely, 2^{2225070489600} is an apocalyptic number.

2225070489600 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 2225070489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790388079568).

2225070489600 is an abundant number, since it is smaller than the sum of its proper divisors (7355705669536).

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

2225070489600 is a wasteful number, since it uses less digits than its factorization.

2225070489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2225070489600 in words is "two trillion, two hundred twenty-five billion, seventy million, four hundred eighty-nine thousand, six hundred".