2857842000 has 800 divisors, whose sum is σ = 11796744960. Its totient is φ = 661478400.

The previous prime is 2857841971. The next prime is 2857842007. The reversal of 2857842000 is 2487582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857842007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48437971 + ... + 48438029.

Almost surely, 2^2857842000 is an apocalyptic number.

2857842000 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 2857842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898372480).

2857842000 is an abundant number, since it is smaller than the sum of its proper divisors (8938902960).

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

2857842000 is a wasteful number, since it uses less digits than its factorization.

2857842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2857842000 is about 53458.7878650461. The cubic root of 2857842000 is about 1419.0991442780.

The spelling of 2857842000 in words is "two billion, eight hundred fifty-seven million, eight hundred forty-two thousand".