2210561280 has 504 divisors, whose sum is σ = 8364440448. Its totient is φ = 558379008.

The previous prime is 2210561183. The next prime is 2210561281. The reversal of 2210561280 is 821650122.

It is a happy number.

2210561280 is a `hidden beast` number, since 2 + 21 + 0 + 561 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210561281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21461709 + ... + 21461811.

It is an arithmetic number, because the mean of its divisors is an integer number (16596112).

Almost surely, 2^2210561280 is an apocalyptic number.

2210561280 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 2210561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182220224).

2210561280 is an abundant number, since it is smaller than the sum of its proper divisors (6153879168).

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

2210561280 is an equidigital number, since it uses as much as digits as its factorization.

2210561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2210561280 is about 47016.6064279420. The cubic root of 2210561280 is about 1302.6693239346.

The spelling of 2210561280 in words is "two billion, two hundred ten million, five hundred sixty-one thousand, two hundred eighty".