2021464500 has 192 divisors, whose sum is σ = 6490568448. Its totient is φ = 484800000.

The previous prime is 2021464499. The next prime is 2021464553. The reversal of 2021464500 is 54641202.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1665894 + ... + 1667106.

It is an arithmetic number, because the mean of its divisors is an integer number (33805044).

Almost surely, 2^2021464500 is an apocalyptic number.

2021464500 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 2021464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245284224).

2021464500 is an abundant number, since it is smaller than the sum of its proper divisors (4469103948).

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

2021464500 is a wasteful number, since it uses less digits than its factorization.

2021464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2021464500 is about 44960.6995052346. The cubic root of 2021464500 is about 1264.4122835580.

The spelling of 2021464500 in words is "two billion, twenty-one million, four hundred sixty-four thousand, five hundred".