2212280553600 has 672 divisors, whose sum is σ = 8824200514500. Its totient is φ = 544553902080.

The previous prime is 2212280553583. The next prime is 2212280553643. The reversal of 2212280553600 is 63550822122.

It is a happy number.

2212280553600 is a `hidden beast` number, since 2 + 2 + 1 + 22 + 80 + 553 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1171537805376 + 1040742748224 = 1082376^2 + 1020168^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30289926 + ... + 30362874.

Almost surely, 2^{2212280553600} is an apocalyptic number.

2212280553600 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 2212280553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412100257250).

2212280553600 is an abundant number, since it is smaller than the sum of its proper divisors (6611919960900).

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

2212280553600 is an equidigital number, since it uses as much as digits as its factorization.

2212280553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73004 (or 72972 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2212280553600 in words is "two trillion, two hundred twelve billion, two hundred eighty million, five hundred fifty-three thousand, six hundred".