2207668320 has 576 divisors, whose sum is σ = 9034841088. Its totient is φ = 483840000.

The previous prime is 2207668303. The next prime is 2207668321. The reversal of 2207668320 is 238667022.

It is a super-2 number, since 2×2207668320² = 9747598822263244800, which contains 22 as substring.

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 (2207668321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14620245 + ... + 14620395.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2^2207668320 is an apocalyptic number.

2207668320 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 2207668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544).

2207668320 is an abundant number, since it is smaller than the sum of its proper divisors (6827172768).

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

2207668320 is a wasteful number, since it uses less digits than its factorization.

2207668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2207668320 is about 46985.8310557555. The cubic root of 2207668320 is about 1302.1008083796.

The spelling of 2207668320 in words is "two billion, two hundred seven million, six hundred sixty-eight thousand, three hundred twenty".