2225534832000 has 1024 divisors, whose sum is σ = 8754400512000. Its totient is φ = 554364518400.

The previous prime is 2225534831959. The next prime is 2225534832011. The reversal of 2225534832000 is 2384355222.

2225534832000 is a `hidden beast` number, since 2 + 2 + 2 + 553 + 4 + 83 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427245396 + ... + 427250604.

It is an arithmetic number, because the mean of its divisors is an integer number (8549219250).

Almost surely, 2^{2225534832000} is an apocalyptic number.

2225534832000 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 2225534832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377200256000).

2225534832000 is an abundant number, since it is smaller than the sum of its proper divisors (6528865680000).

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

2225534832000 is a wasteful number, since it uses less digits than its factorization.

2225534832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2225534832000 in words is "two trillion, two hundred twenty-five billion, five hundred thirty-four million, eight hundred thirty-two thousand".