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2021684672 = 2677163559
BaseRepresentation
bin111100010000000…
…0111010111000000
312012220011020000002
41320200013113000
513120022402142
6532335415132
7101046015260
oct17040072700
95186136002
102021684672
11948208687
124850844a8
13262aca527
141527017a0
15bc747a32
hex788075c0

2021684672 has 56 divisors (see below), whose sum is σ = 4649541120. Its totient is φ = 854219520.

The previous prime is 2021684671. The next prime is 2021684681. The reversal of 2021684672 is 2764861202.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021684671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 63587.

It is an arithmetic number, because the mean of its divisors is an integer number (83027520).

Almost surely, 22021684672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324770560).

2021684672 is an abundant number, since it is smaller than the sum of its proper divisors (2627856448).

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

2021684672 is an equidigital number, since it uses as much as digits as its factorization.

2021684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63649 (or 63639 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2021684672 is about 44963.1479325013. The cubic root of 2021684672 is about 1264.4581872538.

The spelling of 2021684672 in words is "two billion, twenty-one million, six hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3976 4544 7952 15904 31808 63559 127118 254236 444913 508472 889826 1016944 1779652 2033888 3559304 4067776 4512689 7118608 9025378 14237216 18050756 28474432 31588823 36101512 63177646 72203024 126355292 144406048 252710584 288812096 505421168 1010842336 2021684672