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2075988096 = 273372132341
BaseRepresentation
bin111101110111101…
…0001000010000000
312100200100010022000
41323233101002000
513222423104341
6541555344000
7102305415300
oct17357210200
95320303260
102075988096
11975928646
1249b2b2000
13271131630
141599d9600
15c23c28b6
hex7bbd1080

2075988096 has 768 divisors, whose sum is σ = 8204716800. Its totient is φ = 510935040.

The previous prime is 2075988071. The next prime is 2075988097. The reversal of 2075988096 is 6908895702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075988097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50633836 + ... + 50633876.

It is an arithmetic number, because the mean of its divisors is an integer number (10683225).

Almost surely, 22075988096 is an apocalyptic number.

2075988096 is a gapful number since it is divisible by the number (26) 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 2075988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102358400).

2075988096 is an abundant number, since it is smaller than the sum of its proper divisors (6128728704).

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

2075988096 is a wasteful number, since it uses less digits than its factorization.

2075988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2075988096 is about 45563.0123674895. The cubic root of 2075988096 is about 1275.6796265945.

The spelling of 2075988096 in words is "two billion, seventy-five million, nine hundred eighty-eight thousand, ninety-six".