2145538368 has 336 divisors, whose sum is σ = 6889821120. Its totient is φ = 659902464.

The previous prime is 2145538361. The next prime is 2145538379. The reversal of 2145538368 is 8638355412.

2145538368 is a `hidden beast` number, since 2 + 14 + 553 + 83 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145538361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15660796 + ... + 15660932.

It is an arithmetic number, because the mean of its divisors is an integer number (20505420).

Almost surely, 2^2145538368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444910560).

2145538368 is an abundant number, since it is smaller than the sum of its proper divisors (4744282752).

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

2145538368 is a wasteful number, since it uses less digits than its factorization.

2145538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2145538368 is about 46319.9564766635. The cubic root of 2145538368 is about 1289.7694774669.

The spelling of 2145538368 in words is "two billion, one hundred forty-five million, five hundred thirty-eight thousand, three hundred sixty-eight".