2021114880 has 264 divisors, whose sum is σ = 7311425472. Its totient is φ = 515260416.

The previous prime is 2021114869. The next prime is 2021114933. The reversal of 2021114880 is 884111202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1058887 + ... + 1060793.

Almost surely, 2^2021114880 is an apocalyptic number.

2021114880 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 2021114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655712736).

2021114880 is an abundant number, since it is smaller than the sum of its proper divisors (5290310592).

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

2021114880 is a wasteful number, since it uses less digits than its factorization.

2021114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2021114880 is about 44956.8112748224. The cubic root of 2021114880 is about 1264.3393843784.

The spelling of 2021114880 in words is "two billion, twenty-one million, one hundred fourteen thousand, eight hundred eighty".