10002442340 has 96 divisors (see below), whose sum is σ = 23191999488. Its totient is φ = 3593520000.

The previous prime is 10002442319. The next prime is 10002442379. The reversal of 10002442340 is 4324420001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7008707 + ... + 7010133.

It is an arithmetic number, because the mean of its divisors is an integer number (241583328).

Almost surely, 2^10002442340 is an apocalyptic number.

10002442340 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 10002442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595999744).

10002442340 is an abundant number, since it is smaller than the sum of its proper divisors (13189557148).

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

10002442340 is a wasteful number, since it uses less digits than its factorization.

10002442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10002442340 its reverse (4324420001), we get a palindrome (14326862341).

The spelling of 10002442340 in words is "ten billion, two million, four hundred forty-two thousand, three hundred forty".