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2750800842240 = 2935113131093
BaseRepresentation
bin101000000001111000100…
…000011100111000000000
3100201222022001002102100120
4220001320200130320000
5330032120003422430
65503411144420240
7402511260236253
oct50017040347000
910658261072316
102750800842240
119706763a9120
12385159777680
1316c52665a379
14971d49cd09a
154b84bdbb610
hex2807881ce00

2750800842240 has 640 divisors, whose sum is σ = 9922257506304. Its totient is φ = 644758732800.

The previous prime is 2750800842227. The next prime is 2750800842241. The reversal of 2750800842240 is 422480080572.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 2750800842192 and 2750800842201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2750800842241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2516743134 + ... + 2516744226.

Almost surely, 22750800842240 is an apocalyptic number.

2750800842240 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 2750800842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961128753152).

2750800842240 is an abundant number, since it is smaller than the sum of its proper divisors (7171456664064).

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

2750800842240 is an equidigital number, since it uses as much as digits as its factorization.

2750800842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 2750800842240 in words is "two trillion, seven hundred fifty billion, eight hundred million, eight hundred forty-two thousand, two hundred forty".