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2530321440 = 253510315113
BaseRepresentation
bin1001011011010001…
…1010010000100000
320112100020122110220
42112310122100200
520140230241230
61055025323040
7116463243303
oct22664322040
96470218426
102530321440
111089333a49
125a7496480
133142b782a
141a00a4b3a
15ec219d10
hex96d1a420

2530321440 has 96 divisors (see below), whose sum is σ = 7979803776. Its totient is φ = 673966080.

The previous prime is 2530321403. The next prime is 2530321477. The reversal of 2530321440 is 441230352.

It is an interprime number because it is at equal distance from previous prime (2530321403) and next prime (2530321477).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2530321440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492324 + ... + 497436.

It is an arithmetic number, because the mean of its divisors is an integer number (83122956).

Almost surely, 22530321440 is an apocalyptic number.

2530321440 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 2530321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989901888).

2530321440 is an abundant number, since it is smaller than the sum of its proper divisors (5449482336).

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

2530321440 is a wasteful number, since it uses less digits than its factorization.

2530321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2530321440 is about 50302.3005438121. The cubic root of 2530321440 is about 1362.6737767858.

Adding to 2530321440 its reverse (441230352), we get a palindrome (2971551792).

The spelling of 2530321440 in words is "two billion, five hundred thirty million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1031 2062 3093 4124 5113 5155 6186 8248 10226 10310 12372 15339 15465 16496 20452 20620 24744 25565 30678 30930 32992 40904 41240 49488 51130 61356 61860 76695 81808 82480 98976 102260 122712 123720 153390 163616 164960 204520 245424 247440 306780 409040 490848 494880 613560 818080 1227120 2454240 5271503 10543006 15814509 21086012 26357515 31629018 42172024 52715030 63258036 79072545 84344048 105430060 126516072 158145090 168688096 210860120 253032144 316290180 421720240 506064288 632580360 843440480 1265160720 2530321440