2868800220 has 384 divisors, whose sum is σ = 10621255680. Its totient is φ = 633692160.

The previous prime is 2868800213. The next prime is 2868800237. The reversal of 2868800220 is 220088682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7490149 + ... + 7490531.

It is an arithmetic number, because the mean of its divisors is an integer number (27659520).

Almost surely, 2^2868800220 is an apocalyptic number.

2868800220 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 2868800220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310627840).

2868800220 is an abundant number, since it is smaller than the sum of its proper divisors (7752455460).

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

2868800220 is a wasteful number, since it uses less digits than its factorization.

2868800220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2868800220 is about 53561.1820257918. The cubic root of 2868800220 is about 1420.9106471136.

The spelling of 2868800220 in words is "two billion, eight hundred sixty-eight million, eight hundred thousand, two hundred twenty".