2382642140 has 96 divisors (see below), whose sum is σ = 5437756800. Its totient is φ = 873635840.

The previous prime is 2382642131. The next prime is 2382642149. The reversal of 2382642140 is 412462832.

It is an interprime number because it is at equal distance from previous prime (2382642131) and next prime (2382642149).

It is a junction number, because it is equal to n+sod(n) for n = 2382642097 and 2382642106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382642149) 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, 2147906 + ... + 2149014.

It is an arithmetic number, because the mean of its divisors is an integer number (56643300).

Almost surely, 2^2382642140 is an apocalyptic number.

2382642140 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 2382642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718878400).

2382642140 is an abundant number, since it is smaller than the sum of its proper divisors (3055114660).

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

2382642140 is a wasteful number, since it uses less digits than its factorization.

2382642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2382642140 is about 48812.3154541966. The cubic root of 2382642140 is about 1335.6303307188.

The spelling of 2382642140 in words is "two billion, three hundred eighty-two million, six hundred forty-two thousand, one hundred forty".