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2440542520 = 2351321492423
BaseRepresentation
bin1001000101110111…
…1011100100111000
320022002022101221201
42101131323210320
514444234330040
61042101143544
7114323161213
oct22135734470
96262271851
102440542520
111042693799
125813babb4
132cb812400
141921b477a
15e43d3a9a
hex9177b938

2440542520 has 96 divisors (see below), whose sum is σ = 5988492000. Its totient is φ = 894706176.

The previous prime is 2440542499. The next prime is 2440542521. The reversal of 2440542520 is 252450442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440542521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006029 + ... + 1008451.

It is an arithmetic number, because the mean of its divisors is an integer number (62380125).

Almost surely, 22440542520 is an apocalyptic number.

2440542520 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 2440542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994246000).

2440542520 is an abundant number, since it is smaller than the sum of its proper divisors (3547949480).

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

2440542520 is a wasteful number, since it uses less digits than its factorization.

2440542520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2440542520 is about 49401.8473338801. The cubic root of 2440542520 is about 1346.3628700175.

Adding to 2440542520 its reverse (252450442), we get a palindrome (2692992962).

The spelling of 2440542520 in words is "two billion, four hundred forty million, five hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 169 260 298 338 520 596 676 745 845 1192 1352 1490 1690 1937 2423 2980 3380 3874 4846 5960 6760 7748 9685 9692 12115 15496 19370 19384 24230 25181 31499 38740 48460 50362 62998 77480 96920 100724 125905 125996 157495 201448 251810 251992 314990 361027 409487 503620 629980 722054 818974 1007240 1259960 1444108 1637948 1805135 2047435 2888216 3275896 3610270 4094870 4693351 7220540 8189740 9386702 14441080 16379480 18773404 23466755 37546808 46933510 61013563 93867020 122027126 187734040 244054252 305067815 488108504 610135630 1220271260 2440542520