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2291620494240 = 2534571119120863
BaseRepresentation
bin100001010110001111001…
…110011011101110100000
322010002001222020212210000
4201112033032123232200
5300021214321303430
64512431140140000
7324364330543440
oct41261716335640
98102058225700
102291620494240
11803964032410
1231016b097600
1313813933593c
147ccb4b7a120
153e924bc9e60
hex2158f39bba0

2291620494240 has 960 divisors, whose sum is σ = 10613909053440. Its totient is φ = 451114997760.

The previous prime is 2291620494239. The next prime is 2291620494263. The reversal of 2291620494240 is 424940261922.

It is a happy number.

2291620494240 is a `hidden beast` number, since 2 + 2 + 9 + 16 + 204 + 9 + 424 + 0 = 666.

2291620494240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18900049 + ... + 19020911.

It is an arithmetic number, because the mean of its divisors is an integer number (11056155264).

Almost surely, 22291620494240 is an apocalyptic number.

2291620494240 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 2291620494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306954526720).

2291620494240 is an abundant number, since it is smaller than the sum of its proper divisors (8322288559200).

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

2291620494240 is a wasteful number, since it uses less digits than its factorization.

2291620494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120927 (or 120910 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2291620494240 in words is "two trillion, two hundred ninety-one billion, six hundred twenty million, four hundred ninety-four thousand, two hundred forty".