2134821000 has 512 divisors, whose sum is σ = 7841433600. Its totient is φ = 479001600.

The previous prime is 2134820977. The next prime is 2134821023. The reversal of 2134821000 is 1284312.

It is an interprime number because it is at equal distance from previous prime (2134820977) and next prime (2134821023).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31862967 + ... + 31863033.

It is an arithmetic number, because the mean of its divisors is an integer number (15315300).

Almost surely, 2^2134821000 is an apocalyptic number.

2134821000 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 2134821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920716800).

2134821000 is an abundant number, since it is smaller than the sum of its proper divisors (5706612600).

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

2134821000 is a wasteful number, since it uses less digits than its factorization.

2134821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2134821000 is about 46204.1231926329. The cubic root of 2134821000 is about 1287.6183446060.

The spelling of 2134821000 in words is "two billion, one hundred thirty-four million, eight hundred twenty-one thousand".