2021952268 has 72 divisors (see below), whose sum is σ = 4293112320. Its totient is φ = 829785600.

The previous prime is 2021952223. The next prime is 2021952301. The reversal of 2021952268 is 8622591202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720468 + ... + 723268.

It is an arithmetic number, because the mean of its divisors is an integer number (59626560).

Almost surely, 2^2021952268 is an apocalyptic number.

2021952268 is a gapful number since it is divisible by the number (28) 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 2021952268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146556160).

2021952268 is an abundant number, since it is smaller than the sum of its proper divisors (2271160052).

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

2021952268 is a wasteful number, since it uses less digits than its factorization.

2021952268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2021952268 is about 44966.1235598534. The cubic root of 2021952268 is about 1264.5139739005.

The spelling of 2021952268 in words is "two billion, twenty-one million, nine hundred fifty-two thousand, two hundred sixty-eight".