2201950080 has 384 divisors, whose sum is σ = 8661219840. Its totient is φ = 510259200.

The previous prime is 2201950073. The next prime is 2201950097. The reversal of 2201950080 is 800591022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 1456525 + ... + 1458035.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260).

Almost surely, 2^2201950080 is an apocalyptic number.

2201950080 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 2201950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330609920).

2201950080 is an abundant number, since it is smaller than the sum of its proper divisors (6459269760).

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

2201950080 is a wasteful number, since it uses less digits than its factorization.

2201950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2201950080 is about 46924.9409163187. The cubic root of 2201950080 is about 1300.9756147844.

The spelling of 2201950080 in words is "two billion, two hundred one million, nine hundred fifty thousand, eighty".