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2474117040 = 243567251613
BaseRepresentation
bin1001001101111000…
…0000011110110000
320101102111011112110
42103132000132300
520031333221130
61045300525320
7115211435133
oct22336003660
96342434473
102474117040
11105a63582a
125906b0840
133057693a5
1419683421a
15e7316ab0
hex937807b0

2474117040 has 160 divisors (see below), whose sum is σ = 7827998976. Its totient is φ = 646272000.

The previous prime is 2474117039. The next prime is 2474117131. The reversal of 2474117040 is 407114742.

It is a super-2 number, since 2×24741170402 = 12242510255236723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2474116989 and 2474117007.

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, 4035774 + ... + 4036386.

Almost surely, 22474117040 is an apocalyptic number.

2474117040 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 2474117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913999488).

2474117040 is an abundant number, since it is smaller than the sum of its proper divisors (5353881936).

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

2474117040 is a wasteful number, since it uses less digits than its factorization.

2474117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2474117040 is about 49740.4969818356. The cubic root of 2474117040 is about 1352.5087397205.

The spelling of 2474117040 in words is "two billion, four hundred seventy-four million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 251 268 335 402 502 536 613 670 753 804 1004 1005 1072 1226 1255 1340 1506 1608 1839 2008 2010 2452 2510 2680 3012 3065 3216 3678 3765 4016 4020 4904 5020 5360 6024 6130 7356 7530 8040 9195 9808 10040 12048 12260 14712 15060 16080 16817 18390 20080 24520 29424 30120 33634 36780 41071 49040 50451 60240 67268 73560 82142 84085 100902 123213 134536 147120 153863 164284 168170 201804 205355 246426 252255 269072 307726 328568 336340 403608 410710 461589 492852 504510 615452 616065 657136 672680 769315 807216 821420 923178 985704 1009020 1230904 1232130 1345360 1538630 1642840 1846356 1971408 2018040 2307945 2461808 2464260 3077260 3285680 3692712 4036080 4615890 4928520 6154520 7385424 9231780 9857040 10308821 12309040 18463560 20617642 30926463 36927120 41235284 51544105 61852926 82470568 103088210 123705852 154632315 164941136 206176420 247411704 309264630 412352840 494823408 618529260 824705680 1237058520 2474117040