2300538240 has 1536 divisors, whose sum is σ = 11721024000. Its totient is φ = 418037760.

The previous prime is 2300538211. The next prime is 2300538263. The reversal of 2300538240 is 428350032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121080951 + ... + 121080969.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^2300538240 is an apocalyptic number.

2300538240 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 2300538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512000).

2300538240 is an abundant number, since it is smaller than the sum of its proper divisors (9420485760).

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

2300538240 is a wasteful number, since it uses less digits than its factorization.

2300538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2300538240 is about 47963.9264447772. The cubic root of 2300538240 is about 1320.1090818946.

Adding to 2300538240 its reverse (428350032), we get a palindrome (2728888272).

The spelling of 2300538240 in words is "two billion, three hundred million, five hundred thirty-eight thousand, two hundred forty".