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2066555400 = 2335272135407
BaseRepresentation
bin111101100101101…
…0010001000001000
312100000120220001220
41323023102020020
513213014233100
6541021242040
7102132300600
oct17313221010
95300526056
102066555400
11970575728
12498103320
1326c1ab060
14158661c00
15c165caa0
hex7b2d2208

2066555400 has 288 divisors, whose sum is σ = 8026986240. Its totient is φ = 435939840.

The previous prime is 2066555389. The next prime is 2066555401. The reversal of 2066555400 is 45556602.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2066555401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379497 + ... + 384903.

It is an arithmetic number, because the mean of its divisors is an integer number (27871480).

Almost surely, 22066555400 is an apocalyptic number.

2066555400 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 2066555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013493120).

2066555400 is an abundant number, since it is smaller than the sum of its proper divisors (5960430840).

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

2066555400 is a wasteful number, since it uses less digits than its factorization.

2066555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2066555400 is about 45459.3818699727. The cubic root of 2066555400 is about 1273.7445851132.

The spelling of 2066555400 in words is "two billion, sixty-six million, five hundred fifty-five thousand, four hundred".