2168225280 has 640 divisors, whose sum is σ = 8799436800. Its totient is φ = 501645312.

The previous prime is 2168225251. The next prime is 2168225303. The reversal of 2168225280 is 825228612.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072577 + ... + 17072703.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^2168225280 is an apocalyptic number.

2168225280 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 2168225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2168225280 is an abundant number, since it is smaller than the sum of its proper divisors (6631211520).

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

2168225280 is a wasteful number, since it uses less digits than its factorization.

2168225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2168225280 is about 46564.2059955928. The cubic root of 2168225280 is about 1294.2995531298.

The spelling of 2168225280 in words is "two billion, one hundred sixty-eight million, two hundred twenty-five thousand, two hundred eighty".