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2530003968 = 210322711013
BaseRepresentation
bin1001011011001100…
…1100110000000000
320112022122111222200
42112303030300000
520140140111333
61055014433200
7116460451602
oct22663146000
96468574880
102530003968
111089137478
125a7362800
1331420618b
141a0021172
15ec1a5c13
hex96cccc00

2530003968 has 132 divisors (see below), whose sum is σ = 7339526688. Its totient is φ = 839393280.

The previous prime is 2530003909. The next prime is 2530004003. The reversal of 2530003968 is 8693000352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2497030 + ... + 2498042.

Almost surely, 22530003968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669763344).

2530003968 is an abundant number, since it is smaller than the sum of its proper divisors (4809522720).

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

2530003968 is a wasteful number, since it uses less digits than its factorization.

2530003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2530003968 is about 50299.1448038632. The cubic root of 2530003968 is about 1362.6167841766.

The spelling of 2530003968 in words is "two billion, five hundred thirty million, three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 512 542 576 768 813 1013 1024 1084 1152 1536 1626 2026 2168 2304 2439 3039 3072 3252 4052 4336 4608 4878 6078 6504 8104 8672 9117 9216 9756 12156 13008 16208 17344 18234 19512 24312 26016 32416 34688 36468 39024 48624 52032 64832 69376 72936 78048 97248 104064 129664 138752 145872 156096 194496 208128 259328 274523 277504 291744 312192 388992 416256 518656 549046 583488 624384 777984 823569 832512 1037312 1098092 1166976 1248768 1555968 1647138 2196184 2333952 2470707 2497536 3111936 3294276 4392368 4667904 4941414 6588552 8784736 9335808 9882828 13177104 17569472 19765656 26354208 35138944 39531312 52708416 70277888 79062624 105416832 140555776 158125248 210833664 281111552 316250496 421667328 632500992 843334656 1265001984 2530003968