10642242000 has 640 divisors, whose sum is σ = 40037437440. Its totient is φ = 2409523200.

The previous prime is 10642241983. The next prime is 10642242041. The reversal of 10642242000 is 24224601.

It is a super-2 number, since 2×10642242000² (a number of 21 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 127 ways as a sum of consecutive naturals, for example, 63725917 + ... + 63726083.

It is an arithmetic number, because the mean of its divisors is an integer number (62558496).

Almost surely, 2^10642242000 is an apocalyptic number.

10642242000 is a gapful number since it is divisible by the number (10) 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 10642242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018718720).

10642242000 is an abundant number, since it is smaller than the sum of its proper divisors (29395195440).

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

10642242000 is a wasteful number, since it uses less digits than its factorization.

10642242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10642242000 its reverse (24224601), we get a palindrome (10666466601).

The spelling of 10642242000 in words is "ten billion, six hundred forty-two million, two hundred forty-two thousand".