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2102886240 = 2535713311553
BaseRepresentation
bin111110101010111…
…0111111101100000
312102112221200121120
41331111313331200
513301314324430
6544400052240
7103053144450
oct17525677540
95375850546
102102886240
1198a02a614
124a8304080
1327688b7b0
1415d3dbd60
15c4937610
hex7d577f60

2102886240 has 384 divisors, whose sum is σ = 8421138432. Its totient is φ = 429096960.

The previous prime is 2102886239. The next prime is 2102886241. The reversal of 2102886240 is 426882012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2102886239) and next prime (2102886241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102886241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353304 + ... + 1354856.

It is an arithmetic number, because the mean of its divisors is an integer number (21930048).

Almost surely, 22102886240 is an apocalyptic number.

2102886240 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 2102886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210569216).

2102886240 is an abundant number, since it is smaller than the sum of its proper divisors (6318252192).

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

2102886240 is a wasteful number, since it uses less digits than its factorization.

2102886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2102886240 is about 45857.2375966979. The cubic root of 2102886240 is about 1281.1655724182.

The spelling of 2102886240 in words is "two billion, one hundred two million, eight hundred eighty-six thousand, two hundred forty".