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2239038426240 = 2733572111779179
BaseRepresentation
bin100000100101010001000…
…101110000110010000000
321221001100102211001202000
4200211101011300302000
5243141022314114430
64432333340024000
7320523313413600
oct40452105606200
97831312731660
102239038426240
11793630902470
12301b35532000
131331a9661035
147a527554c00
153d3987e7e60
hex20951170c80

2239038426240 has 3072 divisors, whose sum is σ = 10850319360000. Its totient is φ = 429928611840.

The previous prime is 2239038426187. The next prime is 2239038426259. The reversal of 2239038426240 is 426248309322.

2239038426240 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 0 + 384 + 26 + 240 = 666.

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 12508594471 + ... + 12508594649.

It is an arithmetic number, because the mean of its divisors is an integer number (3532005000).

Almost surely, 22239038426240 is an apocalyptic number.

2239038426240 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 2239038426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425159680000).

2239038426240 is an abundant number, since it is smaller than the sum of its proper divisors (8611280933760).

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

2239038426240 is a wasteful number, since it uses less digits than its factorization.

2239038426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2239038426240 in words is "two trillion, two hundred thirty-nine billion, thirty-eight million, four hundred twenty-six thousand, two hundred forty".