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2084990688 = 2532112194767
BaseRepresentation
bin111110001000110…
…0110111011100000
312101022021111112100
41330101212323200
513232224200223
6542520330400
7102445062024
oct17421467340
95338244470
102084990688
1197aa17400
124a2313a00
13272c64201
1415aca0384
15c30a0043
hex7c466ee0

2084990688 has 432 divisors, whose sum is σ = 7110754560. Its totient is φ = 577082880.

The previous prime is 2084990681. The next prime is 2084990689. The reversal of 2084990688 is 8860994802.

2084990688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084990681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31119231 + ... + 31119297.

It is an arithmetic number, because the mean of its divisors is an integer number (16460080).

Almost surely, 22084990688 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 2084990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555377280).

2084990688 is an abundant number, since it is smaller than the sum of its proper divisors (5025763872).

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

2084990688 is a wasteful number, since it uses less digits than its factorization.

2084990688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2084990688 is about 45661.6982601392. The cubic root of 2084990688 is about 1277.5209766228.

The spelling of 2084990688 in words is "two billion, eighty-four million, nine hundred ninety thousand, six hundred eighty-eight".