2347642000000 has 672 divisors, whose sum is σ = 6557699263500. Its totient is φ = 836352000000.

The previous prime is 2347641999863. The next prime is 2347642000013. The reversal of 2347642000000 is 2467432.

It can be written as a sum of positive squares in 14 ways, for example, as 2149132544064 + 198509455936 = 1465992^2 + 445544^2 .

It is a super-2 number, since 2×2347642000000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21537999946 + ... + 21538000054.

Almost surely, 2^{2347642000000} is an apocalyptic number.

2347642000000 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 2347642000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278849631750).

2347642000000 is an abundant number, since it is smaller than the sum of its proper divisors (4210057263500).

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

2347642000000 is an frugal number, since it uses more digits than its factorization.

2347642000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 2347642000000 its reverse (2467432), we get a palindrome (2347644467432).

The spelling of 2347642000000 in words is "two trillion, three hundred forty-seven billion, six hundred forty-two million", and thus it is an aban number.