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2554041120 = 253512741897
BaseRepresentation
bin1001100000111011…
…1001001100100000
320120222212201202120
42120032321030200
520212313303440
61101233544240
7120201664011
oct23016711440
96528781676
102554041120
1110a0764994
125b3415080
133191a1047
141a32bb008
15ee352dd0
hex983b9320

2554041120 has 96 divisors (see below), whose sum is σ = 8108771328. Its totient is φ = 675698688.

The previous prime is 2554041097. The next prime is 2554041151. The reversal of 2554041120 is 211404552.

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 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 15 ways as a sum of consecutive naturals, for example, 40012 + ... + 81908.

It is an arithmetic number, because the mean of its divisors is an integer number (84466368).

Almost surely, 22554041120 is an apocalyptic number.

2554041120 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 2554041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054385664).

2554041120 is an abundant number, since it is smaller than the sum of its proper divisors (5554730208).

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

2554041120 is a wasteful number, since it uses less digits than its factorization.

2554041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42042 (or 42034 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2554041120 is about 50537.5219020482. The cubic root of 2554041120 is about 1366.9185221610.

Adding to 2554041120 its reverse (211404552), we get a palindrome (2765445672).

The spelling of 2554041120 in words is "two billion, five hundred fifty-four million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 41897 60960 83794 125691 167588 209485 251382 335176 418970 502764 628455 670352 837940 1005528 1256910 1340704 1675880 2011056 2513820 3351760 4022112 5027640 5320919 6703520 10055280 10641838 15962757 20110560 21283676 26604595 31925514 42567352 53209190 63851028 79813785 85134704 106418380 127702056 159627570 170269408 212836760 255404112 319255140 425673520 510808224 638510280 851347040 1277020560 2554041120