2142819000 has 576 divisors, whose sum is σ = 8697443040. Its totient is φ = 474163200.

The previous prime is 2142818981. The next prime is 2142819011. The reversal of 2142819000 is 9182412.

It is a super-2 number, since 2×2142819000² = 9183346533522000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18962944 + ... + 18963056.

Almost surely, 2^2142819000 is an apocalyptic number.

2142819000 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 2142819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348721520).

2142819000 is an abundant number, since it is smaller than the sum of its proper divisors (6554624040).

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

2142819000 is a wasteful number, since it uses less digits than its factorization.

2142819000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2142819000 is about 46290.5929968498. The cubic root of 2142819000 is about 1289.2243399008.

The spelling of 2142819000 in words is "two billion, one hundred forty-two million, eight hundred nineteen thousand".