2400089760 has 72 divisors (see below), whose sum is σ = 8190311220. Its totient is φ = 640023552.

The previous prime is 2400089759. The next prime is 2400089779. The reversal of 2400089760 is 679800042.

It can be written as a sum of positive squares in 2 ways, for example, as 2386517904 + 13571856 = 48852^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2400089760³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831925 + ... + 834804.

Almost surely, 2^2400089760 is an apocalyptic number.

2400089760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400089760 is an abundant number, since it is smaller than the sum of its proper divisors (5790221460).

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

2400089760 is a wasteful number, since it uses less digits than its factorization.

2400089760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666750 (or 1666739 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2400089760 is about 48990.7109562619. The cubic root of 2400089760 is about 1338.8825911511.

The spelling of 2400089760 in words is "two billion, four hundred million, eighty-nine thousand, seven hundred sixty".