2146320480 has 192 divisors, whose sum is σ = 6974263296. Its totient is φ = 554496000.

The previous prime is 2146320461. The next prime is 2146320481. The reversal of 2146320480 is 840236412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146320481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3758595 + ... + 3759165.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288).

Almost surely, 2^2146320480 is an apocalyptic number.

2146320480 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 2146320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487131648).

2146320480 is an abundant number, since it is smaller than the sum of its proper divisors (4827942816).

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

2146320480 is a wasteful number, since it uses less digits than its factorization.

2146320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2146320480 is about 46328.3982023985. The cubic root of 2146320480 is about 1289.9261780963.

Adding to 2146320480 its reverse (840236412), we get a palindrome (2986556892).

The spelling of 2146320480 in words is "two billion, one hundred forty-six million, three hundred twenty thousand, four hundred eighty".