2833562006220 has 288 divisors, whose sum is σ = 8875114020864. Its totient is φ = 674875998720.

The previous prime is 2833562006183. The next prime is 2833562006273. The reversal of 2833562006220 is 226002653382.

It is a super-2 number, since 2×2833562006220² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94953142 + ... + 94982978.

It is an arithmetic number, because the mean of its divisors is an integer number (30816368128).

Almost surely, 2^{2833562006220} is an apocalyptic number.

2833562006220 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 2833562006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437557010432).

2833562006220 is an abundant number, since it is smaller than the sum of its proper divisors (6041552014644).

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

2833562006220 is a wasteful number, since it uses less digits than its factorization.

2833562006220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30101 (or 30088 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 2833562006220 in words is "two trillion, eight hundred thirty-three billion, five hundred sixty-two million, six thousand, two hundred twenty".