2021001264 has 120 divisors (see below), whose sum is σ = 5739848400. Its totient is φ = 663759360.

The previous prime is 2021001263. The next prime is 2021001299. The reversal of 2021001264 is 4621001202.

It is a super-2 number, since 2×2021001264² = 8168892218179195392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2021001263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5195182 + ... + 5195570.

It is an arithmetic number, because the mean of its divisors is an integer number (47832070).

Almost surely, 2^2021001264 is an apocalyptic number.

2021001264 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 2021001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869924200).

2021001264 is an abundant number, since it is smaller than the sum of its proper divisors (3718847136).

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

2021001264 is a wasteful number, since it uses less digits than its factorization.

2021001264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2021001264 is about 44955.5476443119. The cubic root of 2021001264 is about 1264.3156925245.

Adding to 2021001264 its reverse (4621001202), we get a palindrome (6642002466).

The spelling of 2021001264 in words is "two billion, twenty-one million, one thousand, two hundred sixty-four".