2210880401 has 8 divisors (see below), whose sum is σ = 2249440104. Its totient is φ = 2172395520.

The previous prime is 2210880377. The next prime is 2210880439. The reversal of 2210880401 is 1040880122.

2210880401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 47020²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 71910400 + 2138970001 = 8480^2 + 46249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2210880401 - 2¹⁴ = 2210864017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210880461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42641 + ... + 78993.

It is an arithmetic number, because the mean of its divisors is an integer number (281180013).

Almost surely, 2^2210880401 is an apocalyptic number.

It is an amenable number.

2210880401 is a deficient number, since it is larger than the sum of its proper divisors (38559703).

2210880401 is an equidigital number, since it uses as much as digits as its factorization.

2210880401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37411.

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 2210880401 is about 47020.0000106338. Note that the first 4 decimals coincide. The cubic root of 2210880401 is about 1302.7320062253.

The spelling of 2210880401 in words is "two billion, two hundred ten million, eight hundred eighty thousand, four hundred one".