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2010488256 = 26337712341
BaseRepresentation
bin111011111010101…
…1001110111000000
312012010002101102000
41313311121313000
513104141111011
6531255424000
7100551603540
oct16765316700
95163071360
102010488256
11941960647
12481385000
132606aa22a
14151029320
15bb785356
hex77d59dc0

2010488256 has 224 divisors, whose sum is σ = 6852879360. Its totient is φ = 566092800.

The previous prime is 2010488243. The next prime is 2010488257. The reversal of 2010488256 is 6528840102.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2010488256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010488257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857646 + ... + 859986.

Almost surely, 22010488256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426439680).

2010488256 is an abundant number, since it is smaller than the sum of its proper divisors (4842391104).

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

2010488256 is a wasteful number, since it uses less digits than its factorization.

2010488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2010488256 is about 44838.4684841041. The cubic root of 2010488256 is about 1262.1196069422.

The spelling of 2010488256 in words is "two billion, ten million, four hundred eighty-eight thousand, two hundred fifty-six".