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2442756096 = 2153311251
BaseRepresentation
bin1001000110011001…
…1000000000000000
320022020110212102000
42101212120000000
520000321143341
61042220424000
7114351040614
oct22146300000
96266425360
102442756096
1110439658a0
125820a8000
132cc108b11
141925cd344
15e46be8b6
hex91998000

2442756096 has 256 divisors, whose sum is σ = 7927113600. Its totient is φ = 737280000.

The previous prime is 2442756079. The next prime is 2442756103. The reversal of 2442756096 is 6906572442.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×24427560962 = 11934114689090322432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9731971 + ... + 9732221.

Almost surely, 22442756096 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 2442756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963556800).

2442756096 is an abundant number, since it is smaller than the sum of its proper divisors (5484357504).

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

2442756096 is an equidigital number, since it uses as much as digits as its factorization.

2442756096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2442756096 is about 49424.2460337029. The cubic root of 2442756096 is about 1346.7697981120.

The spelling of 2442756096 in words is "two billion, four hundred forty-two million, seven hundred fifty-six thousand, ninety-six".