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2032280640 = 26325131731103
BaseRepresentation
bin111100100100010…
…0010010001000000
312020122002112221100
41321020202101000
513130230440030
6533354454400
7101235046305
oct17110422100
95218075840
102032280640
11953195585
12488734400
1326506a430
14153c9d0ac
15bd63c360
hex79222440

2032280640 has 672 divisors, whose sum is σ = 8307726336. Its totient is φ = 451215360.

The previous prime is 2032280633. The next prime is 2032280669. The reversal of 2032280640 is 460822302.

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, 19730829 + ... + 19730931.

It is an arithmetic number, because the mean of its divisors is an integer number (12362688).

Almost surely, 22032280640 is an apocalyptic number.

2032280640 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 2032280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153863168).

2032280640 is an abundant number, since it is smaller than the sum of its proper divisors (6275445696).

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

2032280640 is a wasteful number, since it uses less digits than its factorization.

2032280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2032280640 is about 45080.8234175020. The cubic root of 2032280640 is about 1266.6634139652.

The spelling of 2032280640 in words is "two billion, thirty-two million, two hundred eighty thousand, six hundred forty".