2890684000 has 96 divisors (see below), whose sum is σ = 7149201696. Its totient is φ = 1148659200.

The previous prime is 2890683947. The next prime is 2890684007. The reversal of 2890684000 is 4860982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890684007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625699 + ... + 630301.

It is an arithmetic number, because the mean of its divisors is an integer number (74470851).

Almost surely, 2^2890684000 is an apocalyptic number.

2890684000 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 2890684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574600848).

2890684000 is an abundant number, since it is smaller than the sum of its proper divisors (4258517696).

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

2890684000 is a wasteful number, since it uses less digits than its factorization.

2890684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2890684000 is about 53765.0816050715. The cubic root of 2890684000 is about 1424.5144955263.

The spelling of 2890684000 in words is "two billion, eight hundred ninety million, six hundred eighty-four thousand".