2210276640 has 288 divisors, whose sum is σ = 8227832256. Its totient is φ = 494407680.

The previous prime is 2210276617. The next prime is 2210276681. The reversal of 2210276640 is 466720122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2210276598 and 2210276607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891082 + ... + 893558.

It is an arithmetic number, because the mean of its divisors is an integer number (28568862).

Almost surely, 2^2210276640 is an apocalyptic number.

2210276640 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 2210276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113916128).

2210276640 is an abundant number, since it is smaller than the sum of its proper divisors (6017555616).

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

2210276640 is a wasteful number, since it uses less digits than its factorization.

2210276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2210276640 is about 47013.5793149171. The cubic root of 2210276640 is about 1302.6134093703.

Adding to 2210276640 its reverse (466720122), we get a palindrome (2676996762).

The spelling of 2210276640 in words is "two billion, two hundred ten million, two hundred seventy-six thousand, six hundred forty".