2342405130000 has 400 divisors, whose sum is σ = 8224021920576. Its totient is φ = 570873600000.

The previous prime is 2342405129993. The next prime is 2342405130007. The reversal of 2342405130000 is 315042432.

It is an interprime number because it is at equal distance from previous prime (2342405129993) and next prime (2342405130007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2342405130007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39360267 + ... + 39419733.

Almost surely, 2^{2342405130000} is an apocalyptic number.

2342405130000 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 2342405130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112010960288).

2342405130000 is an abundant number, since it is smaller than the sum of its proper divisors (5881616790576).

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

2342405130000 is a wasteful number, since it uses less digits than its factorization.

2342405130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59612 (or 59591 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 2342405130000 in words is "two trillion, three hundred forty-two billion, four hundred five million, one hundred thirty thousand".