2840229826560 has 1040 divisors, whose sum is σ = 11691240502656. Its totient is φ = 646119161856.

The previous prime is 2840229826559. The next prime is 2840229826579. The reversal of 2840229826560 is 656289220482.

It is a happy number.

2840229826560 is a `hidden beast` number, since 28 + 402 + 29 + 82 + 65 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2840229826497 and 2840229826506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3216567879 + ... + 3216568761.

Almost surely, 2^{2840229826560} is an apocalyptic number.

2840229826560 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 2840229826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845620251328).

2840229826560 is an abundant number, since it is smaller than the sum of its proper divisors (8851010676096).

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

2840229826560 is an equidigital number, since it uses as much as digits as its factorization.

2840229826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2840229826560 in words is "two trillion, eight hundred forty billion, two hundred twenty-nine million, eight hundred twenty-six thousand, five hundred sixty".