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2027988480 = 29357217317
BaseRepresentation
bin111100011100000…
…1010011000000000
312020100000111012110
41320320022120000
513123131112410
6533122455320
7101153421600
oct17070123000
95210014173
102027988480
11950823841
12487204540
132641c68ab
141534a2c00
15bd090720
hex78e0a600

2027988480 has 480 divisors, whose sum is σ = 8010531936. Its totient is φ = 434896896.

The previous prime is 2027988467. The next prime is 2027988481. The reversal of 2027988480 is 848897202.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20279884802 = 8225474550025420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027988481) 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, 6397282 + ... + 6397598.

Almost surely, 22027988480 is an apocalyptic number.

2027988480 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 2027988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005265968).

2027988480 is an abundant number, since it is smaller than the sum of its proper divisors (5982543456).

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

2027988480 is a wasteful number, since it uses less digits than its factorization.

2027988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2027988480 is about 45033.1930913188. The cubic root of 2027988480 is about 1265.7710578823.

The spelling of 2027988480 in words is "two billion, twenty-seven million, nine hundred eighty-eight thousand, four hundred eighty".