2821292000 has 96 divisors (see below), whose sum is σ = 7101398304. Its totient is φ = 1100928000.

The previous prime is 2821291981. The next prime is 2821292039. The reversal of 2821292000 is 2921282.

2821292000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155399 + ... + 172601.

It is an arithmetic number, because the mean of its divisors is an integer number (73972899).

Almost surely, 2^2821292000 is an apocalyptic number.

2821292000 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 2821292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550699152).

2821292000 is an abundant number, since it is smaller than the sum of its proper divisors (4280106304).

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

2821292000 is a wasteful number, since it uses less digits than its factorization.

2821292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269 (or 17251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2821292000 is about 53115.8356801435. The cubic root of 2821292000 is about 1413.0233735447.

The spelling of 2821292000 in words is "two billion, eight hundred twenty-one million, two hundred ninety-two thousand".