2300567040 has 240 divisors, whose sum is σ = 8227080576. Its totient is φ = 593510400.

The previous prime is 2300567039. The next prime is 2300567047. The reversal of 2300567040 is 407650032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2300566995 and 2300567013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300567047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712630 + ... + 715850.

Almost surely, 2^2300567040 is an apocalyptic number.

2300567040 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 2300567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113540288).

2300567040 is an abundant number, since it is smaller than the sum of its proper divisors (5926513536).

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

2300567040 is a wasteful number, since it uses less digits than its factorization.

2300567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2300567040 is about 47964.2266694669. The cubic root of 2300567040 is about 1320.1145906029.

The spelling of 2300567040 in words is "two billion, three hundred million, five hundred sixty-seven thousand, forty".