2942082000 has 800 divisors, whose sum is σ = 12583194624. Its totient is φ = 653184000.

The previous prime is 2942081981. The next prime is 2942082079. The reversal of 2942082000 is 2802492.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23165937 + ... + 23166063.

Almost surely, 2^2942082000 is an apocalyptic number.

2942082000 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 2942082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291597312).

2942082000 is an abundant number, since it is smaller than the sum of its proper divisors (9641112624).

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

2942082000 is a wasteful number, since it uses less digits than its factorization.

2942082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2942082000 is about 54240.9623808428. The cubic root of 2942082000 is about 1432.9078359618.

Adding to 2942082000 its reverse (2802492), we get a palindrome (2944884492).

The spelling of 2942082000 in words is "two billion, nine hundred forty-two million, eighty-two thousand".