2210824980 has 288 divisors, whose sum is σ = 8374399488. Its totient is φ = 459648000.

The previous prime is 2210824969. The next prime is 2210824981. The reversal of 2210824980 is 894280122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210824981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162030 + ... + 1163930.

It is an arithmetic number, because the mean of its divisors is an integer number (29077776).

Almost surely, 2^2210824980 is an apocalyptic number.

2210824980 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 2210824980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187199744).

2210824980 is an abundant number, since it is smaller than the sum of its proper divisors (6163574508).

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

2210824980 is a wasteful number, since it uses less digits than its factorization.

2210824980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2210824980 is about 47019.4106726148. The cubic root of 2210824980 is about 1302.7211207709.

The spelling of 2210824980 in words is "two billion, two hundred ten million, eight hundred twenty-four thousand, nine hundred eighty".