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2880028840 = 2351326321059
BaseRepresentation
bin1010101110101001…
…1100000010101000
321102201021121211211
42223222130002220
521344241410330
61153441002504
7131240561353
oct25352340250
97381247754
102880028840
111248779327
12684623434
1336b89a7a0
141d46d729a
1511cc96d2a
hexaba9c0a8

2880028840 has 64 divisors (see below), whose sum is σ = 7005398400. Its totient is φ = 1059301632.

The previous prime is 2880028793. The next prime is 2880028849. The reversal of 2880028840 is 488200882.

It is a happy number.

It is a super-2 number, since 2×28800288402 = 16589132238463491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2880028793 and 2880028802.

It is not an unprimeable number, because it can be changed into a prime (2880028849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126231 + ... + 147289.

It is an arithmetic number, because the mean of its divisors is an integer number (109459350).

Almost surely, 22880028840 is an apocalyptic number.

2880028840 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 2880028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502699200).

2880028840 is an abundant number, since it is smaller than the sum of its proper divisors (4125369560).

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

2880028840 is a wasteful number, since it uses less digits than its factorization.

2880028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21346 (or 21342 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 2880028840 is about 53665.9001601576. The cubic root of 2880028840 is about 1422.7620708914.

The spelling of 2880028840 in words is "two billion, eight hundred eighty million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 263 520 526 1052 1315 2104 2630 3419 5260 6838 10520 13676 17095 21059 27352 34190 42118 68380 84236 105295 136760 168472 210590 273767 421180 547534 842360 1095068 1368835 2190136 2737670 5475340 5538517 10950680 11077034 22154068 27692585 44308136 55385170 72000721 110770340 144001442 221540680 288002884 360003605 576005768 720007210 1440014420 2880028840