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2111028480 = 2835511617
BaseRepresentation
bin111110111010011…
…1011110100000000
312110010021100200000
41331310323310000
513310410402410
6545250400000
7103212305661
oct17564736400
95403240600
102111028480
11993690a40
124aab90000
1327847c8a2
1416051b368
15c54e4dc0
hex7dd3bd00

2111028480 has 432 divisors, whose sum is σ = 8276433984. Its totient is φ = 510935040.

The previous prime is 2111028473. The next prime is 2111028511. The reversal of 2111028480 is 848201112.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×21110284802 = 8912882486742220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421132 + ... + 3421748.

It is an arithmetic number, because the mean of its divisors is an integer number (19158412).

Almost surely, 22111028480 is an apocalyptic number.

2111028480 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 2111028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138216992).

2111028480 is an abundant number, since it is smaller than the sum of its proper divisors (6165405504).

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

2111028480 is an equidigital number, since it uses as much as digits as its factorization.

2111028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2111028480 is about 45945.9299612055. The cubic root of 2111028480 is about 1282.8169730533.

Adding to 2111028480 its reverse (848201112), we get a palindrome (2959229592).

The spelling of 2111028480 in words is "two billion, one hundred eleven million, twenty-eight thousand, four hundred eighty".