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2042991360 = 283251091627
BaseRepresentation
bin111100111000101…
…1001001100000000
312021101020201021200
41321301121030000
513141001210420
6534420221200
7101425066014
oct17161311400
95241221250
102042991360
11959240713
1249023a800
1326734a637
1415548a544
15be555b90
hex79c59300

2042991360 has 216 divisors, whose sum is σ = 7137770640. Its totient is φ = 539467776.

The previous prime is 2042991343. The next prime is 2042991373. The reversal of 2042991360 is 631992402.

2042991360 is a `hidden beast` number, since 2 + 0 + 4 + 299 + 1 + 360 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1254867 + ... + 1256493.

Almost surely, 22042991360 is an apocalyptic number.

2042991360 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 2042991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568885320).

2042991360 is an abundant number, since it is smaller than the sum of its proper divisors (5094779280).

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

2042991360 is a wasteful number, since it uses less digits than its factorization.

2042991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2042991360 is about 45199.4619437002. The cubic root of 2042991360 is about 1268.8847464288.

The spelling of 2042991360 in words is "two billion, forty-two million, nine hundred ninety-one thousand, three hundred sixty".