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2540220452 = 22711151193283
BaseRepresentation
bin1001011101101000…
…1011000000100100
320120000212120100222
42113122023000210
520200244023302
61100021423512
7116643342350
oct22732130044
96500776328
102540220452
111093985250
125aa86ab98
13316372433
141a1520460
15ed022da2
hex9768b024

2540220452 has 96 divisors (see below), whose sum is σ = 5627725824. Its totient is φ = 974592000.

The previous prime is 2540220439. The next prime is 2540220481.

2540220452 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8975903 + ... + 8976185.

It is an arithmetic number, because the mean of its divisors is an integer number (58622144).

Almost surely, 22540220452 is an apocalyptic number.

2540220452 is a gapful number since it is divisible by the number (22) 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 2540220452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813862912).

2540220452 is an abundant number, since it is smaller than the sum of its proper divisors (3087505372).

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

2540220452 is a wasteful number, since it uses less digits than its factorization.

2540220452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2540220452 is about 50400.5997186541. The cubic root of 2540220452 is about 1364.4484619396.

It can be divided in two parts, 25402 and 20452, that added together give a palindrome (45854).

The spelling of 2540220452 in words is "two billion, five hundred forty million, two hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 151 154 193 283 302 308 386 566 604 772 1057 1132 1351 1661 1981 2114 2123 2702 3113 3322 3962 4228 4246 5404 6226 6644 7924 8492 11627 12452 14861 21791 23254 29143 29722 42733 43582 46508 54619 58286 59444 85466 87164 109238 116572 170932 204001 218476 299131 320573 382333 408002 470063 598262 600809 641146 764666 816004 940126 1196524 1201618 1282292 1529332 1880252 2244011 2403236 3290441 4205663 4488022 6580882 8247469 8411326 8976044 13161764 16494938 16822652 32989876 57732283 90722159 115464566 181444318 230929132 362888636 635055113 1270110226 2540220452