2200956480 has 336 divisors, whose sum is σ = 7988198400. Its totient is φ = 555134976.

The previous prime is 2200956469. The next prime is 2200956491. The reversal of 2200956480 is 846590022.

It is a happy number.

2200956480 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 9 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2200956469) and next prime (2200956491).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9869649 + ... + 9869871.

It is an arithmetic number, because the mean of its divisors is an integer number (23774400).

Almost surely, 2^2200956480 is an apocalyptic number.

2200956480 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 2200956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).

2200956480 is an abundant number, since it is smaller than the sum of its proper divisors (5787241920).

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

2200956480 is a wasteful number, since it uses less digits than its factorization.

2200956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2200956480 is about 46914.3526013095. The cubic root of 2200956480 is about 1300.7799028317.

The spelling of 2200956480 in words is "two billion, two hundred million, nine hundred fifty-six thousand, four hundred eighty".