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2630223066240 = 2733572111989167
BaseRepresentation
bin100110010001100101100…
…000101111010010000000
3100022110001202201202012000
4212101211200233102000
5321043144101104430
65332150252304000
7361012244115600
oct46214540572200
910273052652160
102630223066240
11924520395380
12365908472000
1316104b858c13
1491436a46c00
1548641337e60
hex2646582f480

2630223066240 has 3072 divisors, whose sum is σ = 12658705920000. Its totient is φ = 508891299840.

The previous prime is 2630223066217. The next prime is 2630223066293. The reversal of 2630223066240 is 426603220362.

2630223066240 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 2 + 23 + 0 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2630223066195 and 2630223066204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15749838637 + ... + 15749838803.

It is an arithmetic number, because the mean of its divisors is an integer number (4120672500).

Almost surely, 22630223066240 is an apocalyptic number.

2630223066240 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 2630223066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329352960000).

2630223066240 is an abundant number, since it is smaller than the sum of its proper divisors (10028482853760).

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

2630223066240 is a wasteful number, since it uses less digits than its factorization.

2630223066240 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 2630223066240 in words is "two trillion, six hundred thirty billion, two hundred twenty-three million, sixty-six thousand, two hundred forty".