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2521040424 = 2337127173683
BaseRepresentation
bin1001011001000100…
…0000011000101000
320111200210010022120
42112101000120220
520130341243144
61054054351240
7116321330040
oct22621003050
96450703276
102521040424
111084074a91
125a435b520
133123b82c6
1419cb6a720
15eb4d4e19
hex96440628

2521040424 has 128 divisors (see below), whose sum is σ = 7312343040. Its totient is φ = 709454592.

The previous prime is 2521040413. The next prime is 2521040443. The reversal of 2521040424 is 4240401252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2521040394 and 2521040403.

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, 3690787 + ... + 3691469.

It is an arithmetic number, because the mean of its divisors is an integer number (57127680).

Almost surely, 22521040424 is an apocalyptic number.

2521040424 is a gapful number since it is divisible by the number (24) 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 2521040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656171520).

2521040424 is an abundant number, since it is smaller than the sum of its proper divisors (4791302616).

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

2521040424 is a wasteful number, since it uses less digits than its factorization.

2521040424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2521040424 is about 50209.9633937329. The cubic root of 2521040424 is about 1361.0056762783.

Adding to 2521040424 its reverse (4240401252), we get a palindrome (6761441676).

The spelling of 2521040424 in words is "two billion, five hundred twenty-one million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 173 254 346 381 508 519 683 692 762 889 1016 1038 1211 1366 1384 1524 1778 2049 2076 2422 2667 2732 3048 3556 3633 4098 4152 4781 4844 5334 5464 7112 7266 8196 9562 9688 10668 14343 14532 16392 19124 21336 21971 28686 29064 38248 43942 57372 65913 86741 87884 114744 118159 131826 153797 173482 175768 236318 260223 263652 307594 346964 354477 461391 472636 520446 527304 607187 615188 693928 708954 827113 922782 945272 1040892 1214374 1230376 1417908 1654226 1821561 1845564 2081784 2428748 2481339 2835816 3308452 3643122 3691128 4857496 4962678 6616904 7286244 9925356 14572488 15006193 19850712 30012386 45018579 60024772 90037158 105043351 120049544 180074316 210086702 315130053 360148632 420173404 630260106 840346808 1260520212 2521040424