2210906880 has 1152 divisors, whose sum is σ = 10439116800. Its totient is φ = 429981696.

The previous prime is 2210906827. The next prime is 2210906881. The reversal of 2210906880 is 886090122.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (2210906881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59754222 + ... + 59754258.

Almost surely, 2^2210906880 is an apocalyptic number.

2210906880 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 2210906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219558400).

2210906880 is an abundant number, since it is smaller than the sum of its proper divisors (8228209920).

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

2210906880 is a wasteful number, since it uses less digits than its factorization.

2210906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2210906880 is about 47020.2815814623. The cubic root of 2210906880 is about 1302.7372070046.

The spelling of 2210906880 in words is "two billion, two hundred ten million, nine hundred six thousand, eight hundred eighty".