2306376382464 has 1728 divisors, whose sum is σ = 9134614944000. Its totient is φ = 543050956800.

The previous prime is 2306376382417. The next prime is 2306376382489. The reversal of 2306376382464 is 4642836736032.

2306376382464 is a `hidden beast` number, since 2 + 30 + 6 + 3 + 76 + 3 + 82 + 464 = 666.

It is a super-2 number, since 2×2306376382464² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2306376382464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25914341332 + ... + 25914341420.

It is an arithmetic number, because the mean of its divisors is an integer number (5286235500).

Almost surely, 2^{2306376382464} is an apocalyptic number.

2306376382464 is a gapful number since it is divisible by the number (24) 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 2306376382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567307472000).

2306376382464 is an abundant number, since it is smaller than the sum of its proper divisors (6828238561536).

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

2306376382464 is a wasteful number, since it uses less digits than its factorization.

2306376382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 2306376382464 in words is "two trillion, three hundred six billion, three hundred seventy-six million, three hundred eighty-two thousand, four hundred sixty-four".