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2119480020 = 223657191093
BaseRepresentation
bin111111001010100…
…1011001011010100
312110201011202000000
41332111023023110
513320041330040
6550151451300
7103344166020
oct17625131324
95421152000
102119480020
11998433789
124b1986b30
1327a14b6b8
141616bb380
15c6114130
hex7e54b2d4

2119480020 has 336 divisors, whose sum is σ = 8035386240. Its totient is φ = 458535168.

The previous prime is 2119480007. The next prime is 2119480021. The reversal of 2119480020 is 200849112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119480021) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1938594 + ... + 1939686.

It is an arithmetic number, because the mean of its divisors is an integer number (23914840).

Almost surely, 22119480020 is an apocalyptic number.

2119480020 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 2119480020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017693120).

2119480020 is an abundant number, since it is smaller than the sum of its proper divisors (5915906220).

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

2119480020 is a wasteful number, since it uses less digits than its factorization.

2119480020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2119480020 is about 46037.8107646313. The cubic root of 2119480020 is about 1284.5266203871.

The spelling of 2119480020 in words is "two billion, one hundred nineteen million, four hundred eighty thousand, twenty".