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2080921600 = 2115297419
BaseRepresentation
bin111110000001000…
…0101100000000000
312101000121202210101
41330002011200000
513230203442400
6542253212144
7102365353552
oct17402054000
95330552711
102080921600
1197869821a
124a0a91054
1327216b074
1415a5214d2
15c2a4956a
hex7c085800

2080921600 has 144 divisors (see below), whose sum is σ = 5225056200. Its totient is φ = 821821440.

The previous prime is 2080921597. The next prime is 2080921607. The reversal of 2080921600 is 61290802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080921607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4966191 + ... + 4966609.

Almost surely, 22080921600 is an apocalyptic number.

2080921600 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 2080921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612528100).

2080921600 is an abundant number, since it is smaller than the sum of its proper divisors (3144134600).

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

2080921600 is an equidigital number, since it uses as much as digits as its factorization.

2080921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2080921600 is about 45617.1195934158. The cubic root of 2080921600 is about 1276.6893612922.

The spelling of 2080921600 in words is "two billion, eighty million, nine hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 128 160 194 200 256 320 388 400 419 485 512 640 776 800 838 970 1024 1280 1552 1600 1676 1940 2048 2095 2425 2560 3104 3200 3352 3880 4190 4850 5120 6208 6400 6704 7760 8380 9700 10240 10475 12416 12800 13408 15520 16760 19400 20950 24832 25600 26816 31040 33520 38800 40643 41900 49664 51200 53632 62080 67040 77600 81286 83800 99328 107264 124160 134080 155200 162572 167600 198656 203215 214528 248320 268160 310400 325144 335200 406430 429056 496640 536320 620800 650288 670400 812860 858112 993280 1016075 1072640 1241600 1300576 1340800 1625720 2032150 2145280 2483200 2601152 2681600 3251440 4064300 4290560 4966400 5202304 5363200 6502880 8128600 10404608 10726400 13005760 16257200 20809216 21452800 26011520 32514400 41618432 52023040 65028800 83236864 104046080 130057600 208092160 260115200 416184320 520230400 1040460800 2080921600