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2066964480 = 213345789
BaseRepresentation
bin111101100110011…
…0110000000000000
312100001100200020000
41323030312000000
513213120330410
6541034120000
7102135623340
oct17314660000
95301320200
102066964480
11970825009
12498280000
1326c2c2309
1415872ad20
15c16dddc0
hex7b336000

2066964480 has 560 divisors, whose sum is σ = 8563721760. Its totient is φ = 467140608.

The previous prime is 2066964479. The next prime is 2066964481. The reversal of 2066964480 is 844696602.

2066964480 is a `hidden beast` number, since 20 + 66 + 96 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2066964479) and next prime (2066964481).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066964481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224276 + ... + 23224364.

Almost surely, 22066964480 is an apocalyptic number.

2066964480 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 2066964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281860880).

2066964480 is an abundant number, since it is smaller than the sum of its proper divisors (6496757280).

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

2066964480 is an frugal number, since it uses more digits than its factorization.

2066964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2066964480 is about 45463.8810485863. The cubic root of 2066964480 is about 1273.8286265825.

The spelling of 2066964480 in words is "two billion, sixty-six million, nine hundred sixty-four thousand, four hundred eighty".