2228662800000 has 1152 divisors, whose sum is σ = 9867294702720. Its totient is φ = 470154240000.

The previous prime is 2228662799969. The next prime is 2228662800101. The reversal of 2228662800000 is 82668222.

2228662800000 is a `hidden beast` number, since 2 + 2 + 28 + 6 + 628 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2228662800000² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 327596599 + ... + 327603401.

It is an arithmetic number, because the mean of its divisors is an integer number (8565359985).

Almost surely, 2^{2228662800000} is an apocalyptic number.

2228662800000 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 2228662800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933647351360).

2228662800000 is an abundant number, since it is smaller than the sum of its proper divisors (7638631902720).

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

2228662800000 is an equidigital number, since it uses as much as digits as its factorization.

2228662800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2228662800000 in words is "two trillion, two hundred twenty-eight billion, six hundred sixty-two million, eight hundred thousand".