2027225491200 has 2160 divisors, whose sum is σ = 9424330484800. Its totient is φ = 427234590720.

The previous prime is 2027225491189. The next prime is 2027225491241. The reversal of 2027225491200 is 21945227202.

It is a happy number.

2027225491200 is a `hidden beast` number, since 20 + 2 + 72 + 2 + 549 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 2311545162 + ... + 2311546038.

Almost surely, 2^{2027225491200} is an apocalyptic number.

2027225491200 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 2027225491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712165242400).

2027225491200 is an abundant number, since it is smaller than the sum of its proper divisors (7397104993600).

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

2027225491200 is an equidigital number, since it uses as much as digits as its factorization.

2027225491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2027225491200 in words is "two trillion, twenty-seven billion, two hundred twenty-five million, four hundred ninety-one thousand, two hundred".