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2064986880 = 283511193183
BaseRepresentation
bin111101100010101…
…0011001100000000
312022220122012110120
41323011103030000
513212114040010
6540523500240
7102113045625
oct17305231400
95286565416
102064986880
1196a6a4230
12497687680
1326ba7c138
1415837434c
15c144ce70
hex7b153300

2064986880 has 576 divisors, whose sum is σ = 7911751680. Its totient is φ = 453427200.

The previous prime is 2064986879. The next prime is 2064986881. The reversal of 2064986880 is 886894602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2064986879) and next prime (2064986881).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064986881) 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 63 ways as a sum of consecutive naturals, for example, 24879319 + ... + 24879401.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 22064986880 is an apocalyptic number.

2064986880 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 2064986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955875840).

2064986880 is an abundant number, since it is smaller than the sum of its proper divisors (5846764800).

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

2064986880 is a wasteful number, since it uses less digits than its factorization.

2064986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 2064986880 is about 45442.1267107956. The cubic root of 2064986880 is about 1273.4222452527.

The spelling of 2064986880 in words is "two billion, sixty-four million, nine hundred eighty-six thousand, eight hundred eighty".