2200788480 has 320 divisors, whose sum is σ = 7778073600. Its totient is φ = 526417920.

The previous prime is 2200788479. The next prime is 2200788493. The reversal of 2200788480 is 848870022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9208201 + ... + 9208439.

It is an arithmetic number, because the mean of its divisors is an integer number (24306480).

Almost surely, 2^2200788480 is an apocalyptic number.

2200788480 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 2200788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889036800).

2200788480 is an abundant number, since it is smaller than the sum of its proper divisors (5577285120).

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

2200788480 is a wasteful number, since it uses less digits than its factorization.

2200788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2200788480 is about 46912.5620703027. The cubic root of 2200788480 is about 1300.7468056175.

The spelling of 2200788480 in words is "two billion, two hundred million, seven hundred eighty-eight thousand, four hundred eighty".