2306237300640 has 3456 divisors, whose sum is σ = 11199438432000. Its totient is φ = 445084803072.

The previous prime is 2306237300629. The next prime is 2306237300693. The reversal of 2306237300640 is 460037326032.

2306237300640 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 3 + 7 + 3 + 0 + 0 + 640 = 666.

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 = 2306237300595 and 2306237300604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 79525424146 + ... + 79525424174.

It is an arithmetic number, because the mean of its divisors is an integer number (3240578250).

Almost surely, 2^{2306237300640} is an apocalyptic number.

2306237300640 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 2306237300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599719216000).

2306237300640 is an abundant number, since it is smaller than the sum of its proper divisors (8893201131360).

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

2306237300640 is a wasteful number, since it uses less digits than its factorization.

2306237300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 2306237300640 in words is "two trillion, three hundred six billion, two hundred thirty-seven million, three hundred thousand, six hundred forty".