2306397906144 has 336 divisors, whose sum is σ = 6975499330800. Its totient is φ = 749928388608.

The previous prime is 2306397906089. The next prime is 2306397906151. The reversal of 2306397906144 is 4416097936032.

It is a happy number.

2306397906144 is a `hidden beast` number, since 23 + 0 + 6 + 397 + 90 + 6 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1433434812 + ... + 1433436420.

It is an arithmetic number, because the mean of its divisors is an integer number (20760414675).

Almost surely, 2^{2306397906144} is an apocalyptic number.

2306397906144 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 2306397906144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487749665400).

2306397906144 is an abundant number, since it is smaller than the sum of its proper divisors (4669101424656).

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

2306397906144 is a wasteful number, since it uses less digits than its factorization.

2306397906144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2306397906144 in words is "two trillion, three hundred six billion, three hundred ninety-seven million, nine hundred six thousand, one hundred forty-four".