2347642000 has 240 divisors, whose sum is σ = 6367561200. Its totient is φ = 836352000.

The previous prime is 2347641991. The next prime is 2347642007. The reversal of 2347642000 is 2467432.

It can be written as a sum of positive squares in 8 ways, for example, as 905769216 + 1441872784 = 30096^2 + 37972^2 .

It is a super-2 number, since 2×2347642000² = 11022845920328000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2347642000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2347642007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21537946 + ... + 21538054.

It is an arithmetic number, because the mean of its divisors is an integer number (26531505).

Almost surely, 2^2347642000 is an apocalyptic number.

2347642000 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 2347642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183780600).

2347642000 is an abundant number, since it is smaller than the sum of its proper divisors (4019919200).

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

2347642000 is a wasteful number, since it uses less digits than its factorization.

2347642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

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

The square root of 2347642000 is about 48452.4715571868. The cubic root of 2347642000 is about 1329.0580701341.

The spelling of 2347642000 in words is "two billion, three hundred forty-seven million, six hundred forty-two thousand".