2021418864 has 120 divisors (see below), whose sum is σ = 6117733440. Its totient is φ = 620642304.

The previous prime is 2021418757. The next prime is 2021418869. The reversal of 2021418864 is 4688141202.

It is a super-2 number, since 2×2021418864² = 8172268447470100992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021418869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106272 + ... + 123840.

It is an arithmetic number, because the mean of its divisors is an integer number (50981112).

Almost surely, 2^2021418864 is an apocalyptic number.

2021418864 is a gapful number since it is divisible by the number (24) 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 2021418864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058866720).

2021418864 is an abundant number, since it is smaller than the sum of its proper divisors (4096314576).

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

2021418864 is a wasteful number, since it uses less digits than its factorization.

2021418864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17647 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2021418864 is about 44960.1919924726. The cubic root of 2021418864 is about 1264.4027684839.

The spelling of 2021418864 in words is "two billion, twenty-one million, four hundred eighteen thousand, eight hundred sixty-four".