2145798720 has 336 divisors, whose sum is σ = 8168487600. Its totient is φ = 513589248.

The previous prime is 2145798679. The next prime is 2145798773. The reversal of 2145798720 is 278975412.

It is a happy number.

2145798720 is a `hidden beast` number, since 2 + 1 + 4 + 579 + 8 + 72 + 0 = 666.

2145798720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31270464 + 2114528256 = 5592^2 + 45984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384506 + ... + 1386054.

It is an arithmetic number, because the mean of its divisors is an integer number (24310975).

Almost surely, 2^2145798720 is an apocalyptic number.

2145798720 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 2145798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084243800).

2145798720 is an abundant number, since it is smaller than the sum of its proper divisors (6022688880).

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

2145798720 is a wasteful number, since it uses less digits than its factorization.

2145798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2145798720 is about 46322.7667567472. The cubic root of 2145798720 is about 1289.8216447126.

The spelling of 2145798720 in words is "two billion, one hundred forty-five million, seven hundred ninety-eight thousand, seven hundred twenty".