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2869382880 = 25355713811
BaseRepresentation
bin1010101100000111…
…0100111011100000
321101222020202100000
42223001310323200
521334030223010
61152420500000
7131051231520
oct25301647340
97358222300
102869382880
111242767911
12680b4a600
13369610bc0
141d3125680
1511bd927c0
hexab074ee0

2869382880 has 576 divisors, whose sum is σ = 12513166848. Its totient is φ = 604661760.

The previous prime is 2869382851. The next prime is 2869382903. The reversal of 2869382880 is 882839682.

It is a super-2 number, since 2×28693828802 = 16466716224074188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3537675 + ... + 3538485.

It is an arithmetic number, because the mean of its divisors is an integer number (21724248).

Almost surely, 22869382880 is an apocalyptic number.

2869382880 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 2869382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256583424).

2869382880 is an abundant number, since it is smaller than the sum of its proper divisors (9643783968).

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

2869382880 is a wasteful number, since it uses less digits than its factorization.

2869382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2869382880 is about 53566.6209499909. The cubic root of 2869382880 is about 1421.0068373547.

The spelling of 2869382880 in words is "two billion, eight hundred sixty-nine million, three hundred eighty-two thousand, eight hundred eighty".