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2060974080 = 2113251119107
BaseRepresentation
bin111101011010111…
…1111100000000000
312022122002022221100
41322311333200000
513210102132310
6540301454400
7102033663534
oct17265774000
95278068840
102060974080
11968403370
12496271400
1326aca57b9
14157a0bbc4
15c0e08ec0
hex7ad7f800

2060974080 has 576 divisors, whose sum is σ = 8279107200. Its totient is φ = 468910080.

The previous prime is 2060974067. The next prime is 2060974127. The reversal of 2060974080 is 804790602.

2060974080 is a `hidden beast` number, since 2 + 0 + 609 + 7 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20609740802 = 8495228316863692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19261387 + ... + 19261493.

It is an arithmetic number, because the mean of its divisors is an integer number (14373450).

Almost surely, 22060974080 is an apocalyptic number.

2060974080 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 2060974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139553600).

2060974080 is an abundant number, since it is smaller than the sum of its proper divisors (6218133120).

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

2060974080 is a wasteful number, since it uses less digits than its factorization.

2060974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2060974080 is about 45397.9523767317. The cubic root of 2060974080 is about 1272.5968481811.

The spelling of 2060974080 in words is "two billion, sixty million, nine hundred seventy-four thousand, eighty".