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2046374260 = 225728772381
BaseRepresentation
bin111100111111001…
…0011000101110100
312021121121120202021
41321332103011310
513142332434020
6535020522524
7101465615500
oct17176230564
95247546667
102046374260
119601412a7
124913b0444
13267c63358
14155acb300
15be9c31aa
hex79f93174

2046374260 has 72 divisors (see below), whose sum is σ = 5006802024. Its totient is φ = 700519680.

The previous prime is 2046374249. The next prime is 2046374261. The reversal of 2046374260 is 624736402.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 2010804964 = 5964^2 + 44842^2 .

It is a super-2 number, since 2×20463742602 = 8375295223981095200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046374261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858270 + ... + 860650.

It is an arithmetic number, because the mean of its divisors is an integer number (69538917).

Almost surely, 22046374260 is an apocalyptic number.

2046374260 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 2046374260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503401012).

2046374260 is an abundant number, since it is smaller than the sum of its proper divisors (2960427764).

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

2046374260 is a wasteful number, since it uses less digits than its factorization.

2046374260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2046374260 is about 45236.8683708322. The cubic root of 2046374260 is about 1269.5847237937.

The spelling of 2046374260 in words is "two billion, forty-six million, three hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 877 980 1754 2381 3508 4385 4762 6139 8770 9524 11905 12278 16667 17540 23810 24556 30695 33334 42973 47620 61390 66668 83335 85946 116669 122780 166670 171892 214865 233338 333340 429730 466676 583345 859460 1166690 2088137 2333380 4176274 8352548 10440685 14616959 20881370 29233918 41762740 58467836 73084795 102318713 146169590 204637426 292339180 409274852 511593565 1023187130 2046374260