2193778080 has 480 divisors, whose sum is σ = 8644482000. Its totient is φ = 520224768.

The previous prime is 2193778079. The next prime is 2193778127. The reversal of 2193778080 is 808773912.

It can be written as a sum of positive squares in 8 ways, for example, as 673713936 + 1520064144 = 25956^2 + 38988^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4885696 + ... + 4886144.

Almost surely, 2^2193778080 is an apocalyptic number.

2193778080 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 2193778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322241000).

2193778080 is an abundant number, since it is smaller than the sum of its proper divisors (6450703920).

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

2193778080 is a wasteful number, since it uses less digits than its factorization.

2193778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2193778080 is about 46837.7847469327. The cubic root of 2193778080 is about 1299.3642019180.

The spelling of 2193778080 in words is "two billion, one hundred ninety-three million, seven hundred seventy-eight thousand, eighty".