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2555850240 = 29335103359
BaseRepresentation
bin1001100001010111…
…0010111000000000
320121010021122102000
42120111302320000
520213244201430
61101340424000
7120223240266
oct23025627000
96533248360
102555850240
1110a1790129
125b3b48000
13319685628
141a362c436
15ee5ade60
hex98572e00

2555850240 has 320 divisors, whose sum is σ = 9192268800. Its totient is φ = 673062912.

The previous prime is 2555850191. The next prime is 2555850281. The reversal of 2555850240 is 420585552.

It is a happy number.

2555850240 is a `hidden beast` number, since 2 + 55 + 585 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2555850195 and 2555850204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7119181 + ... + 7119539.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 22555850240 is an apocalyptic number.

2555850240 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 2555850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

2555850240 is an abundant number, since it is smaller than the sum of its proper divisors (6636418560).

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

2555850240 is a wasteful number, since it uses less digits than its factorization.

2555850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 2555850240 is about 50555.4175138531. The cubic root of 2555850240 is about 1367.2411919829.

The spelling of 2555850240 in words is "two billion, five hundred fifty-five million, eight hundred fifty thousand, two hundred forty".