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2260076243040 = 25375721123521
BaseRepresentation
bin100000111000110111000…
…010101010100001100000
322000001122121011220000000
4200320313002222201200
5244012114004234130
64450133101300000
7322166540044500
oct40706702524140
98001577156000
102260076243040
117a1547134620
12306026b64600
13135180056a45
147b5615cda00
153dbca715260
hex20e370aa860

2260076243040 has 2304 divisors, whose sum is σ = 10624377415680. Its totient is φ = 448345497600.

The previous prime is 2260076243023. The next prime is 2260076243057. The reversal of 2260076243040 is 403426700622.

2260076243040 is a `hidden beast` number, since 2 + 2 + 600 + 7 + 6 + 2 + 4 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2260076243023) and next prime (2260076243057).

It is a super-2 number, since 2×22600762430402 (a number of 26 digits) contains 22 as substring.

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 = 2260076242986 and 2260076243004.

It is a congruent number.

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, 4337957980 + ... + 4337958500.

It is an arithmetic number, because the mean of its divisors is an integer number (4611274920).

Almost surely, 22260076243040 is an apocalyptic number.

2260076243040 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 2260076243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312188707840).

2260076243040 is an abundant number, since it is smaller than the sum of its proper divisors (8364301172640).

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

2260076243040 is a wasteful number, since it uses less digits than its factorization.

2260076243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2260076243040 in words is "two trillion, two hundred sixty billion, seventy-six million, two hundred forty-three thousand, forty".