2283919447680 has 1536 divisors, whose sum is σ = 9404819424000. Its totient is φ = 505658474496.

The previous prime is 2283919447597. The next prime is 2283919447697. The reversal of 2283919447680 is 867449193822.

2283919447680 is a `hidden beast` number, since 2 + 2 + 83 + 9 + 1 + 9 + 4 + 476 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2263547016 + ... + 2263548024.

Almost surely, 2^{2283919447680} is an apocalyptic number.

2283919447680 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 2283919447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702409712000).

2283919447680 is an abundant number, since it is smaller than the sum of its proper divisors (7120899976320).

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

2283919447680 is a wasteful number, since it uses less digits than its factorization.

2283919447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2283919447680 in words is "two trillion, two hundred eighty-three billion, nine hundred nineteen million, four hundred forty-seven thousand, six hundred eighty".