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2093921280 = 2103751117
BaseRepresentation
bin111110011001110…
…1011010000000000
312101221002020000000
41330303223100000
513242020440110
6543440000000
7102614015523
oct17463532000
95357066000
102093921280
11984a67060
124a5300000
13274a70099
1415c146bba
15c3c661c0
hex7cceb400

2093921280 has 704 divisors, whose sum is σ = 8701551360. Its totient is φ = 477757440.

The previous prime is 2093921273. The next prime is 2093921327. The reversal of 2093921280 is 821293902.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×20939212803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123171832 + ... + 123171848.

Almost surely, 22093921280 is an apocalyptic number.

2093921280 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 2093921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350775680).

2093921280 is an abundant number, since it is smaller than the sum of its proper divisors (6607630080).

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

2093921280 is an equidigital number, since it uses as much as digits as its factorization.

2093921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2093921280 is about 45759.3846112467. The cubic root of 2093921280 is about 1279.3423705189.

The spelling of 2093921280 in words is "two billion, ninety-three million, nine hundred twenty-one thousand, two hundred eighty".