2300894640 has 320 divisors, whose sum is σ = 8710156800. Its totient is φ = 553651200.

The previous prime is 2300894639. The next prime is 2300894641. The reversal of 2300894640 is 464980032.

It is a happy number.

2300894640 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 8 + 9 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2300894639) and next prime (2300894641).

It is a super-2 number, since 2×2300894640² = 10588232288761459200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2300894595 and 2300894604.

It is not an unprimeable number, because it can be changed into a prime (2300894641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4252770 + ... + 4253310.

It is an arithmetic number, because the mean of its divisors is an integer number (27219240).

Almost surely, 2^2300894640 is an apocalyptic number.

2300894640 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 2300894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355078400).

2300894640 is an abundant number, since it is smaller than the sum of its proper divisors (6409262160).

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

2300894640 is a wasteful number, since it uses less digits than its factorization.

2300894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2300894640 is about 47967.6415930573. The cubic root of 2300894640 is about 1320.1772489253.

The spelling of 2300894640 in words is "two billion, three hundred million, eight hundred ninety-four thousand, six hundred forty".