2210052768 has 384 divisors, whose sum is σ = 7855626240. Its totient is φ = 526417920.

The previous prime is 2210052743. The next prime is 2210052863. The reversal of 2210052768 is 8672500122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5403348 + ... + 5403756.

It is an arithmetic number, because the mean of its divisors is an integer number (20457360).

Almost surely, 2^2210052768 is an apocalyptic number.

2210052768 is a gapful number since it is divisible by the number (28) 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 2210052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927813120).

2210052768 is an abundant number, since it is smaller than the sum of its proper divisors (5645573472).

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

2210052768 is a wasteful number, since it uses less digits than its factorization.

2210052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2210052768 is about 47011.1983255054. The cubic root of 2210052768 is about 1302.5694286742.

The spelling of 2210052768 in words is "two billion, two hundred ten million, fifty-two thousand, seven hundred sixty-eight".