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2980260864 = 2103572959
BaseRepresentation
bin1011000110100011…
…0010110000000000
321200200212221100000
42301220302300000
522100421321424
61211421200000
7133565541120
oct26150626000
97620787300
102980260864
11129a309109
126b2100000
13386592a89
14203b48c80
151269953c9
hexb1a32c00

2980260864 has 528 divisors, whose sum is σ = 10729555200. Its totient is φ = 808206336.

The previous prime is 2980260851. The next prime is 2980260869. The reversal of 2980260864 is 4680620892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980260869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50512867 + ... + 50512925.

Almost surely, 22980260864 is an apocalyptic number.

2980260864 is a gapful number since it is divisible by the number (24) 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 2980260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364777600).

2980260864 is an abundant number, since it is smaller than the sum of its proper divisors (7749294336).

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

2980260864 is an equidigital number, since it uses as much as digits as its factorization.

2980260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2980260864 is about 54591.7655329080. The cubic root of 2980260864 is about 1439.0794115955.

The spelling of 2980260864 in words is "two billion, nine hundred eighty million, two hundred sixty thousand, eight hundred sixty-four".