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2630439240 = 233511131771127
BaseRepresentation
bin1001110011001001…
…0101000101001000
320210022122011021120
42130302111011020
520341343023430
61113003235240
7122120236032
oct23462250510
96708564246
102630439240
11112a8a5a30
12614b18b20
1332bc6cb30
141ad4c6c52
15105de4610
hex9cc95148

2630439240 has 512 divisors, whose sum is σ = 10032906240. Its totient is φ = 541900800.

The previous prime is 2630439239. The next prime is 2630439241. The reversal of 2630439240 is 429340362.

It is an interprime number because it is at equal distance from previous prime (2630439239) and next prime (2630439241).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2630439241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20712057 + ... + 20712183.

It is an arithmetic number, because the mean of its divisors is an integer number (19595520).

Almost surely, 22630439240 is an apocalyptic number.

2630439240 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 2630439240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016453120).

2630439240 is an abundant number, since it is smaller than the sum of its proper divisors (7402467000).

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

2630439240 is a wasteful number, since it uses less digits than its factorization.

2630439240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 2630439240 is about 51287.8079079229. The cubic root of 2630439240 is about 1380.4142213804.

The spelling of 2630439240 in words is "two billion, six hundred thirty million, four hundred thirty-nine thousand, two hundred forty".