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2061240480 = 2533513172127
BaseRepresentation
bin111101011011100…
…0000100010100000
312022122120212101000
41322313000202200
513210134143410
6540311312000
7102036153315
oct17267004240
95278525330
102061240480
11968575532
1249637b600
1326b069b30
14157a7ad0c
15c0e5cdc0
hex7adc08a0

2061240480 has 576 divisors, whose sum is σ = 8318177280. Its totient is φ = 473776128.

The previous prime is 2061240439. The next prime is 2061240481. The reversal of 2061240480 is 840421602.

2061240480 is a `hidden beast` number, since 2 + 0 + 612 + 4 + 0 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2061240481) 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 95 ways as a sum of consecutive naturals, for example, 16230177 + ... + 16230303.

It is an arithmetic number, because the mean of its divisors is an integer number (14441280).

Almost surely, 22061240480 is an apocalyptic number.

2061240480 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 2061240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159088640).

2061240480 is an abundant number, since it is smaller than the sum of its proper divisors (6256936800).

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

2061240480 is a wasteful number, since it uses less digits than its factorization.

2061240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2061240480 is about 45400.8863349605. The cubic root of 2061240480 is about 1272.6516774642.

The spelling of 2061240480 in words is "two billion, sixty-one million, two hundred forty thousand, four hundred eighty".