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2084876640 = 2532571118803
BaseRepresentation
bin111110001000100…
…1011000101100000
312101022001201002100
41330101023011200
513232212023030
6542514050400
7102444105360
oct17421130540
95338051070
102084876640
1197a949750
124a2279a00
13272c24322
1415ac709a0
15c307b360
hex7c44b160

2084876640 has 288 divisors, whose sum is σ = 8870674176. Its totient is φ = 433198080.

The previous prime is 2084876639. The next prime is 2084876641. The reversal of 2084876640 is 466784802.

It is an interprime number because it is at equal distance from previous prime (2084876639) and next prime (2084876641).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084876641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101479 + ... + 120281.

It is an arithmetic number, because the mean of its divisors is an integer number (30800952).

Almost surely, 22084876640 is an apocalyptic number.

2084876640 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 2084876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435337088).

2084876640 is an abundant number, since it is smaller than the sum of its proper divisors (6785797536).

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

2084876640 is a wasteful number, since it uses less digits than its factorization.

2084876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18842 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2084876640 is about 45660.4494064612. The cubic root of 2084876640 is about 1277.4976829346.

The spelling of 2084876640 in words is "two billion, eighty-four million, eight hundred seventy-six thousand, six hundred forty".