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2678803920 = 2433513195021
BaseRepresentation
bin1001111110101011…
…0100110111010000
320220200122100011000
42133222310313100
520441233211140
61121452022000
7123245312652
oct23752646720
96820570130
102678803920
11115512a041
12629161900
13338ca4aa0
141b5ab66d2
1510a299a30
hex9fab4dd0

2678803920 has 320 divisors, whose sum is σ = 10461830400. Its totient is φ = 624568320.

The previous prime is 2678803903. The next prime is 2678803937. The reversal of 2678803920 is 293088762.

It is an interprime number because it is at equal distance from previous prime (2678803903) and next prime (2678803937).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531010 + ... + 536030.

It is an arithmetic number, because the mean of its divisors is an integer number (32693220).

Almost surely, 22678803920 is an apocalyptic number.

2678803920 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 2678803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230915200).

2678803920 is an abundant number, since it is smaller than the sum of its proper divisors (7783026480).

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

2678803920 is a wasteful number, since it uses less digits than its factorization.

2678803920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2678803920 is about 51757.1629825283. The cubic root of 2678803920 is about 1388.8232401990.

The spelling of 2678803920 in words is "two billion, six hundred seventy-eight million, eight hundred three thousand, nine hundred twenty".