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2989872000 = 273553769
BaseRepresentation
bin1011001000110101…
…1101001110000000
321201100222020100000
42302031131032000
522110401401000
61212403200000
7134043330663
oct26215351600
97640866300
102989872000
1112a47830a5
126b5376000
1338857963b
1420512b6da
15127743000
hexb235d380

2989872000 has 384 divisors, whose sum is σ = 11149538400. Its totient is φ = 796262400.

The previous prime is 2989871953. The next prime is 2989872029. The reversal of 2989872000 is 2789892.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887616 + ... + 3888384.

Almost surely, 22989872000 is an apocalyptic number.

2989872000 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 2989872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574769200).

2989872000 is an abundant number, since it is smaller than the sum of its proper divisors (8159666400).

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

2989872000 is an frugal number, since it uses more digits than its factorization.

2989872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2989872000 is about 54679.7220183132. The cubic root of 2989872000 is about 1440.6247289287.

The spelling of 2989872000 in words is "two billion, nine hundred eighty-nine million, eight hundred seventy-two thousand".