2306011889664 has 612 divisors, whose sum is σ = 7862739052116. Its totient is φ = 649240510464.

The previous prime is 2306011889653. The next prime is 2306011889693. The reversal of 2306011889664 is 4669881106032.

2306011889664 is a `hidden beast` number, since 23 + 0 + 601 + 1 + 8 + 8 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1923791192064 + 382220697600 = 1387008^2 + 618240^2 .

It is a super-2 number, since 2×2306011889664² (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 2306011889664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2109799902 + ... + 2109800994.

Almost surely, 2^{2306011889664} is an apocalyptic number.

2306011889664 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 2306011889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931369526058).

2306011889664 is an abundant number, since it is smaller than the sum of its proper divisors (5556727162452).

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

2306011889664 is an equidigital number, since it uses as much as digits as its factorization.

2306011889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2306011889664 in words is "two trillion, three hundred six billion, eleven million, eight hundred eighty-nine thousand, six hundred sixty-four".