2343012407064 has 288 divisors, whose sum is σ = 7527497702400. Its totient is φ = 656271262080.

The previous prime is 2343012406981. The next prime is 2343012407081. The reversal of 2343012407064 is 4607042103432.

2343012407064 is a `hidden beast` number, since 2 + 343 + 0 + 1 + 240 + 70 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76376449 + ... + 76407119.

It is an arithmetic number, because the mean of its divisors is an integer number (26137144800).

Almost surely, 2^{2343012407064} is an apocalyptic number.

2343012407064 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 2343012407064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763748851200).

2343012407064 is an abundant number, since it is smaller than the sum of its proper divisors (5184485295336).

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

2343012407064 is a wasteful number, since it uses less digits than its factorization.

2343012407064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31123 (or 31109 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2343012407064 in words is "two trillion, three hundred forty-three billion, twelve million, four hundred seven thousand, sixty-four".