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2021990880 = 2535721317389
BaseRepresentation
bin111100010000101…
…0010000111100000
312012220201210001010
41320201102013200
513120112202010
6532350140520
7101051432100
oct17041220740
95186653033
102021990880
119483a7748
124851b1740
13262ba6a10
14152781200
15bc7a8620
hex788521e0

2021990880 has 576 divisors, whose sum is σ = 8470163520. Its totient is φ = 400490496.

The previous prime is 2021990869. The next prime is 2021990959. The reversal of 2021990880 is 880991202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197726 + ... + 5198114.

It is an arithmetic number, because the mean of its divisors is an integer number (14705145).

Almost surely, 22021990880 is an apocalyptic number.

2021990880 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 2021990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235081760).

2021990880 is an abundant number, since it is smaller than the sum of its proper divisors (6448172640).

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

2021990880 is a wasteful number, since it uses less digits than its factorization.

2021990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 2021990880 is about 44966.5529032413. The cubic root of 2021990880 is about 1264.5220230689.

The spelling of 2021990880 in words is "two billion, twenty-one million, nine hundred ninety thousand, eight hundred eighty".