2346240426432 has 224 divisors, whose sum is σ = 7182861594624. Its totient is φ = 662046720000.

The previous prime is 2346240426403. The next prime is 2346240426437.

2346240426432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2346240426437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54411793 + ... + 54454895.

Almost surely, 2^{2346240426432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2346240426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591430797312).

2346240426432 is an abundant number, since it is smaller than the sum of its proper divisors (4836621168192).

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

2346240426432 is a wasteful number, since it uses less digits than its factorization.

2346240426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43627 (or 43617 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 2346240426432 in words is "two trillion, three hundred forty-six billion, two hundred forty million, four hundred twenty-six thousand, four hundred thirty-two".