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2130890580 = 22325713210007
BaseRepresentation
bin111111100000010…
…1100111101010100
312111111122110100100
41333000230331110
513331001444310
6551240214100
7103543161660
oct17700547524
95444573310
102130890580
119a39176a5
124b576a330
1327c615300
1416300b8a0
15c7119ec0
hex7f02cf54

2130890580 has 216 divisors, whose sum is σ = 7999834752. Its totient is φ = 449549568.

The previous prime is 2130890543. The next prime is 2130890609. The reversal of 2130890580 is 850980312.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207937 + ... + 217943.

It is an arithmetic number, because the mean of its divisors is an integer number (37036272).

Almost surely, 22130890580 is an apocalyptic number.

2130890580 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 2130890580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999917376).

2130890580 is an abundant number, since it is smaller than the sum of its proper divisors (5868944172).

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

2130890580 is a wasteful number, since it uses less digits than its factorization.

2130890580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2130890580 is about 46161.5703805666. The cubic root of 2130890580 is about 1286.8276475658.

The spelling of 2130890580 in words is "two billion, one hundred thirty million, eight hundred ninety thousand, five hundred eighty".