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2681878740 = 2235715991051
BaseRepresentation
bin1001111111011010…
…0011100011010100
320220220102120000020
42133312203203110
520443030104430
61122041545140
7123313410312
oct23766434324
96826376006
102681878740
11115693a212
1262a1a51b0
133398104c8
141b62770b2
1510a6a5b10
hex9fda38d4

2681878740 has 96 divisors (see below), whose sum is σ = 7634995200. Its totient is φ = 703248000.

The previous prime is 2681878681. The next prime is 2681878763. The reversal of 2681878740 is 478781862.

It is a congruent number.

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, 2551215 + ... + 2552265.

It is an arithmetic number, because the mean of its divisors is an integer number (79531200).

Almost surely, 22681878740 is an apocalyptic number.

2681878740 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 2681878740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817497600).

2681878740 is an abundant number, since it is smaller than the sum of its proper divisors (4953116460).

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

2681878740 is a wasteful number, since it uses less digits than its factorization.

2681878740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 2681878740 is about 51786.8587577968. The cubic root of 2681878740 is about 1389.3544161452.

The spelling of 2681878740 in words is "two billion, six hundred eighty-one million, eight hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 599 710 852 1051 1065 1198 1420 1797 2102 2130 2396 2995 3153 3594 4204 4260 5255 5990 6306 7188 8985 10510 11980 12612 15765 17970 21020 31530 35940 42529 63060 74621 85058 127587 149242 170116 212645 223863 255174 298484 373105 425290 447726 510348 629549 637935 746210 850580 895452 1119315 1259098 1275870 1492420 1888647 2238630 2518196 2551740 3147745 3777294 4477260 6295490 7554588 9443235 12590980 18886470 37772940 44697979 89395958 134093937 178791916 223489895 268187874 446979790 536375748 670469685 893959580 1340939370 2681878740