2210955264 has 480 divisors, whose sum is σ = 8135908110. Its totient is φ = 594542592.

The previous prime is 2210955259. The next prime is 2210955269. The reversal of 2210955264 is 4625590122.

2210955264 is a `hidden beast` number, since 22 + 109 + 5 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2210955259) and next prime (2210955269).

It can be written as a sum of positive squares in only one way, i.e., 1625702400 + 585252864 = 40320^2 + 24192^2 .

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 (2210955269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 130056184 + ... + 130056200.

Almost surely, 2^2210955264 is an apocalyptic number.

2210955264 is a gapful number since it is divisible by the number (24) 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 2210955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067954055).

2210955264 is an abundant number, since it is smaller than the sum of its proper divisors (5924952846).

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

2210955264 is an frugal number, since it uses more digits than its factorization.

2210955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2210955264 is about 47020.7960800325. The cubic root of 2210955264 is about 1302.7467100699.

The spelling of 2210955264 in words is "two billion, two hundred ten million, nine hundred fifty-five thousand, two hundred sixty-four".