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2066601888 = 25321323103233
BaseRepresentation
bin111101100101101…
…1101011110100000
312100000200020211200
41323023131132200
513213022230023
6541022241200
7102132553251
oct17313353640
95300606750
102066601888
119705a764a
12498126200
1326c1c6270
14158674b28
15c166b743
hex7b2dd7a0

2066601888 has 288 divisors, whose sum is σ = 6696877824. Its totient is φ = 599740416.

The previous prime is 2066601883. The next prime is 2066601907. The reversal of 2066601888 is 8881066602.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2066601883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8869420 + ... + 8869652.

It is an arithmetic number, because the mean of its divisors is an integer number (23253048).

Almost surely, 22066601888 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 2066601888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348438912).

2066601888 is an abundant number, since it is smaller than the sum of its proper divisors (4630275936).

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

2066601888 is a wasteful number, since it uses less digits than its factorization.

2066601888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2066601888 is about 45459.8931806928. The cubic root of 2066601888 is about 1273.7541361749.

The spelling of 2066601888 in words is "two billion, sixty-six million, six hundred one thousand, eight hundred eighty-eight".