2210503680 has 792 divisors, whose sum is σ = 9829038960. Its totient is φ = 454164480.

The previous prime is 2210503667. The next prime is 2210503699. The reversal of 2210503680 is 863050122.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24837076 + ... + 24837164.

Almost surely, 2^2210503680 is an apocalyptic number.

2210503680 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 2210503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914519480).

2210503680 is an abundant number, since it is smaller than the sum of its proper divisors (7618535280).

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

2210503680 is a wasteful number, since it uses less digits than its factorization.

2210503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2210503680 is about 47015.9938744253. The cubic root of 2210503680 is about 1302.6580094017.

The spelling of 2210503680 in words is "two billion, two hundred ten million, five hundred three thousand, six hundred eighty".