2883124468224 has 2880 divisors, whose sum is σ = 12238256701440. Its totient is φ = 654726758400.

The previous prime is 2883124468141. The next prime is 2883124468229. The reversal of 2883124468224 is 4228644213882.

It is a happy number.

2883124468224 is a `hidden beast` number, since 2 + 8 + 8 + 312 + 44 + 68 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2883124468229) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61343073769 + ... + 61343073815.

It is an arithmetic number, because the mean of its divisors is an integer number (4249394688).

Almost surely, 2^{2883124468224} is an apocalyptic number.

2883124468224 is a gapful number since it is divisible by the number (24) 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 2883124468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119128350720).

2883124468224 is an abundant number, since it is smaller than the sum of its proper divisors (9355132233216).

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

2883124468224 is a wasteful number, since it uses less digits than its factorization.

2883124468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 2883124468224 in words is "two trillion, eight hundred eighty-three billion, one hundred twenty-four million, four hundred sixty-eight thousand, two hundred twenty-four".