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2142484992 = 2934192719
BaseRepresentation
bin111111110110011…
…1011101000000000
312112022110111220000
41333230323220000
513341434004432
6552332520000
7104043551634
oct17754735000
95468414800
102142484992
119aa41675a
124b9620000
13281b447cb
14164788dc4
15c815a57c
hex7fb3ba00

2142484992 has 200 divisors, whose sum is σ = 6733795200. Its totient is φ = 676325376.

The previous prime is 2142484969. The next prime is 2142485021. The reversal of 2142484992 is 2994842412.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 786609 + ... + 789327.

It is an arithmetic number, because the mean of its divisors is an integer number (33668976).

Almost surely, 22142484992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366897600).

2142484992 is an abundant number, since it is smaller than the sum of its proper divisors (4591310208).

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

2142484992 is an equidigital number, since it uses as much as digits as its factorization.

2142484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2743 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2142484992 is about 46286.9851254108. The cubic root of 2142484992 is about 1289.1573512566.

The spelling of 2142484992 in words is "two billion, one hundred forty-two million, four hundred eighty-four thousand, nine hundred ninety-two".