2146455360 has 336 divisors, whose sum is σ = 8935370496. Its totient is φ = 461684736.

The previous prime is 2146455331. The next prime is 2146455397. The reversal of 2146455360 is 635546412.

2146455360 is a `hidden beast` number, since 2 + 1 + 4 + 645 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2146455360³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339589 + ... + 345851.

Almost surely, 2^2146455360 is an apocalyptic number.

2146455360 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 2146455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467685248).

2146455360 is an abundant number, since it is smaller than the sum of its proper divisors (6788915136).

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

2146455360 is a wasteful number, since it uses less digits than its factorization.

2146455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2146455360 is about 46329.8538741490. The cubic root of 2146455360 is about 1289.9531982299.

The spelling of 2146455360 in words is "two billion, one hundred forty-six million, four hundred fifty-five thousand, three hundred sixty".