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2831250240 = 263357132277
BaseRepresentation
bin1010100011000001…
…0111001101000000
321022022111102012000
42220300113031000
521244300001430
61144535304000
7130106141610
oct25060271500
97268442160
102831250240
111223192235
1267021b000
1336174c300
141cc03aa40
1511885de60
hexa8c17340

2831250240 has 672 divisors, whose sum is σ = 12405116160. Its totient is φ = 595206144.

The previous prime is 2831250239. The next prime is 2831250283. The reversal of 2831250240 is 420521382.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10220982 + ... + 10221258.

Almost surely, 22831250240 is an apocalyptic number.

2831250240 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 2831250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202558080).

2831250240 is an abundant number, since it is smaller than the sum of its proper divisors (9573865920).

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

2831250240 is a wasteful number, since it uses less digits than its factorization.

2831250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2831250240 is about 53209.4938897186. The cubic root of 2831250240 is about 1414.6839251236.

The spelling of 2831250240 in words is "two billion, eight hundred thirty-one million, two hundred fifty thousand, two hundred forty".