2270997388800 has 1200 divisors, whose sum is σ = 9657894271872. Its totient is φ = 516276633600.

The previous prime is 2270997388799. The next prime is 2270997388817. The reversal of 2270997388800 is 88837990722.

It is a happy number.

2270997388800 is a `hidden beast` number, since 22 + 70 + 9 + 97 + 388 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1531352859 + ... + 1531354341.

Almost surely, 2^{2270997388800} is an apocalyptic number.

2270997388800 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 2270997388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828947135936).

2270997388800 is an abundant number, since it is smaller than the sum of its proper divisors (7386896883072).

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

2270997388800 is a wasteful number, since it uses less digits than its factorization.

2270997388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2270997388800 in words is "two trillion, two hundred seventy billion, nine hundred ninety-seven million, three hundred eighty-eight thousand, eight hundred".