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2034721020 = 2235193748239
BaseRepresentation
bin111100101000111…
…0110000011111100
312020210200112111210
41321101312003330
513131342033040
6533523044420
7101264562153
oct17121660374
95223615453
102034721020
11954602022
12489510710
13265713147
1415433659a
15bd970480
hex794760fc

2034721020 has 96 divisors (see below), whose sum is σ = 6159283200. Its totient is φ = 500131584.

The previous prime is 2034721009. The next prime is 2034721021. The reversal of 2034721020 is 201274302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034721021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18061 + ... + 66299.

It is an arithmetic number, because the mean of its divisors is an integer number (64159200).

Almost surely, 22034721020 is an apocalyptic number.

2034721020 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 2034721020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079641600).

2034721020 is an abundant number, since it is smaller than the sum of its proper divisors (4124562180).

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

2034721020 is a wasteful number, since it uses less digits than its factorization.

2034721020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48307 (or 48305 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2034721020 is about 45107.8820163395. The cubic root of 2034721020 is about 1267.1702179201.

Adding to 2034721020 its reverse (201274302), we get a palindrome (2235995322).

The spelling of 2034721020 in words is "two billion, thirty-four million, seven hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180 48239 96478 144717 192956 241195 289434 482390 578868 723585 916541 964780 1447170 1784843 1833082 2749623 2894340 3569686 3666164 4582705 5354529 5499246 7139372 8924215 9165410 10709058 10998492 13748115 17848430 18330820 21418116 26772645 27496230 33912017 35696860 53545290 54992460 67824034 101736051 107090580 135648068 169560085 203472102 339120170 406944204 508680255 678240340 1017360510 2034721020