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2093258880 = 273251931617
BaseRepresentation
bin111110011000100…
…1001100010000000
312101212211120100200
41330301021202000
513241333241010
6543413445200
7102605256366
oct17461114200
95355746320
102093258880
11984654419
124a5040800
1327489a72b
1415c013636
15c3b84cc0
hex7cc49880

2093258880 has 384 divisors, whose sum is σ = 7866892800. Its totient is φ = 510935040.

The previous prime is 2093258879. The next prime is 2093258887. The reversal of 2093258880 is 888523902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2093258887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392332 + ... + 3392948.

It is an arithmetic number, because the mean of its divisors is an integer number (20486700).

Almost surely, 22093258880 is an apocalyptic number.

2093258880 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 2093258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933446400).

2093258880 is an abundant number, since it is smaller than the sum of its proper divisors (5773633920).

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

2093258880 is a wasteful number, since it uses less digits than its factorization.

2093258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2093258880 is about 45752.1461791685. The cubic root of 2093258880 is about 1279.2074520813.

The spelling of 2093258880 in words is "two billion, ninety-three million, two hundred fifty-eight thousand, eight hundred eighty".