2145615360 has 320 divisors, whose sum is σ = 7933635072. Its totient is φ = 484540416.

The previous prime is 2145615359. The next prime is 2145615361. The reversal of 2145615360 is 635165412.

It is an interprime number because it is at equal distance from previous prime (2145615359) and next prime (2145615361).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145615361) 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, 5752134 + ... + 5752506.

Almost surely, 2^2145615360 is an apocalyptic number.

2145615360 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 2145615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966817536).

2145615360 is an abundant number, since it is smaller than the sum of its proper divisors (5788019712).

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

2145615360 is a wasteful number, since it uses less digits than its factorization.

2145615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2145615360 is about 46320.7875580716. The cubic root of 2145615360 is about 1289.7849049458.

The spelling of 2145615360 in words is "two billion, one hundred forty-five million, six hundred fifteen thousand, three hundred sixty".