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2041024620 = 2235611274391
BaseRepresentation
bin111100110100111…
…1001000001101100
312021020112210102110
41321221321001230
513140000241440
6534310124020
7101402265045
oct17151710154
95236483373
102041024620
11958118008
1248b650610
13266b0c39b
141550d78cc
15be2b8080
hex79a7906c

2041024620 has 96 divisors (see below), whose sum is σ = 5855625216. Its totient is φ = 531014400.

The previous prime is 2041024603. The next prime is 2041024633. The reversal of 2041024620 is 264201402.

It is a super-2 number, since 2×20410246202 = 8331562998892288800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462625 + ... + 467015.

It is an arithmetic number, because the mean of its divisors is an integer number (60996096).

Almost surely, 22041024620 is an apocalyptic number.

2041024620 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 2041024620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927812608).

2041024620 is an abundant number, since it is smaller than the sum of its proper divisors (3814600596).

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

2041024620 is a wasteful number, since it uses less digits than its factorization.

2041024620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2041024620 is about 45177.7004726890. The cubic root of 2041024620 is about 1268.4774404768.

The spelling of 2041024620 in words is "two billion, forty-one million, twenty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 127 183 244 254 305 366 381 508 610 635 732 762 915 1220 1270 1524 1830 1905 2540 3660 3810 4391 7620 7747 8782 13173 15494 17564 21955 23241 26346 30988 38735 43910 46482 52692 65865 77470 87820 92964 116205 131730 154940 232410 263460 267851 464820 535702 557657 803553 1071404 1115314 1339255 1607106 1672971 2230628 2678510 2788285 3214212 3345942 4017765 5357020 5576570 6691884 8035530 8364855 11153140 16071060 16729710 33459420 34017077 68034154 102051231 136068308 170085385 204102462 340170770 408204924 510256155 680341540 1020512310 2041024620