2207312640 has 576 divisors, whose sum is σ = 8962531200. Its totient is φ = 511377408.

The previous prime is 2207312581. The next prime is 2207312687. The reversal of 2207312640 is 462137022.

2207312640 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 3 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129841912 + ... + 129841928.

It is an arithmetic number, because the mean of its divisors is an integer number (15559950).

Almost surely, 2^2207312640 is an apocalyptic number.

2207312640 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 2207312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481265600).

2207312640 is an abundant number, since it is smaller than the sum of its proper divisors (6755218560).

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

2207312640 is an equidigital number, since it uses as much as digits as its factorization.

2207312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2207312640 is about 46982.0459324623. The cubic root of 2207312640 is about 1302.0308769674.

Adding to 2207312640 its reverse (462137022), we get a palindrome (2669449662).

The spelling of 2207312640 in words is "two billion, two hundred seven million, three hundred twelve thousand, six hundred forty".