2345400041760 has 144 divisors (see below), whose sum is σ = 8006673939264. Its totient is φ = 625205869056.

The previous prime is 2345400041737. The next prime is 2345400041773. The reversal of 2345400041760 is 671400045432.

2345400041760 is a `hidden beast` number, since 2 + 3 + 4 + 540 + 0 + 0 + 41 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3559989 + ... + 4167051.

It is an arithmetic number, because the mean of its divisors is an integer number (55601902356).

Almost surely, 2^{2345400041760} is an apocalyptic number.

2345400041760 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 2345400041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003336969632).

2345400041760 is an abundant number, since it is smaller than the sum of its proper divisors (5661273897504).

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

2345400041760 is a wasteful number, since it uses less digits than its factorization.

2345400041760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609767 (or 609756 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2345400041760 in words is "two trillion, three hundred forty-five billion, four hundred million, forty-one thousand, seven hundred sixty".