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2880069344 = 25293722267
BaseRepresentation
bin1010101110101010…
…0101111011100000
321102201100200101222
42223222211323200
521344244204334
61153441514212
7131241120425
oct25352457340
97381320358
102880069344
1112487a67a9
12684642968
1336b8b3059
141d4707d4c
1511cca3d2e
hexabaa5ee0

2880069344 has 72 divisors (see below), whose sum is σ = 6031133640. Its totient is φ = 1352203776.

The previous prime is 2880069341. The next prime is 2880069349. The reversal of 2880069344 is 4439600882.

It is a junction number, because it is equal to n+sod(n) for n = 2880069295 and 2880069304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880069341) 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 11 ways as a sum of consecutive naturals, for example, 1269299 + ... + 1271565.

It is an arithmetic number, because the mean of its divisors is an integer number (83765745).

Almost surely, 22880069344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880069344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015566820).

2880069344 is an abundant number, since it is smaller than the sum of its proper divisors (3151064296).

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

2880069344 is a wasteful number, since it uses less digits than its factorization.

2880069344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 2880069344 is about 53666.2775306803. The cubic root of 2880069344 is about 1422.7687406493.

The spelling of 2880069344 in words is "two billion, eight hundred eighty million, sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 464 592 928 1073 1184 1369 2146 2267 2738 4292 4534 5476 8584 9068 10952 17168 18136 21904 34336 36272 39701 43808 65743 72544 79402 83879 131486 158804 167758 262972 317608 335516 525944 635216 671032 1051888 1270432 1342064 2103776 2432491 2684128 3103523 4864982 6207046 9729964 12414092 19459928 24828184 38919856 49656368 77839712 90002167 99312736 180004334 360008668 720017336 1440034672 2880069344