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2066977440 = 2538511179
BaseRepresentation
bin111101100110011…
…1001001010100000
312100001101100000000
41323030321022200
513213121234230
6541034300000
7102136006203
oct17314711240
95301340000
102066977440
11970833820
12498287600
1326c2c8198
1415873193a
15c16e2b60
hex7b3392a0

2066977440 has 432 divisors, whose sum is σ = 8034979680. Its totient is φ = 498286080.

The previous prime is 2066977391. The next prime is 2066977441. The reversal of 2066977440 is 447796602.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2066977441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11547271 + ... + 11547449.

It is an arithmetic number, because the mean of its divisors is an integer number (18599490).

Almost surely, 22066977440 is an apocalyptic number.

2066977440 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 2066977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017489840).

2066977440 is an abundant number, since it is smaller than the sum of its proper divisors (5968002240).

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

2066977440 is an equidigital number, since it uses as much as digits as its factorization.

2066977440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2066977440 is about 45464.0235790894. The cubic root of 2066977440 is about 1273.8312889061.

The spelling of 2066977440 in words is "two billion, sixty-six million, nine hundred seventy-seven thousand, four hundred forty".