2272058812800 has 2160 divisors, whose sum is σ = 10377486216900. Its totient is φ = 487989411840.

The previous prime is 2272058812753. The next prime is 2272058812811. The reversal of 2272058812800 is 82188502722.

2272058812800 is a `hidden beast` number, since 2 + 27 + 20 + 588 + 1 + 28 + 0 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 3670530891 + ... + 3670531509.

Almost surely, 2^{2272058812800} is an apocalyptic number.

2272058812800 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 2272058812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188743108450).

2272058812800 is an abundant number, since it is smaller than the sum of its proper divisors (8105427404100).

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

2272058812800 is a wasteful number, since it uses less digits than its factorization.

2272058812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 2272058812800 in words is "two trillion, two hundred seventy-two billion, fifty-eight million, eight hundred twelve thousand, eight hundred".