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2112990000 = 243541119337
BaseRepresentation
bin111110111110001…
…1010101100110000
312110020222000100220
41331330122230300
513311411140000
6545400413040
7103235055462
oct17574325460
95406860326
102112990000
11994800730
124ab777180
132789b8654
141608ac132
15c57811a0
hex7df1ab30

2112990000 has 400 divisors, whose sum is σ = 7855985280. Its totient is φ = 483840000.

The previous prime is 2112989953. The next prime is 2112990017. The reversal of 2112990000 is 992112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6269832 + ... + 6270168.

Almost surely, 22112990000 is an apocalyptic number.

2112990000 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 2112990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927992640).

2112990000 is an abundant number, since it is smaller than the sum of its proper divisors (5742995280).

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

2112990000 is a wasteful number, since it uses less digits than its factorization.

2112990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 2112990000 is about 45967.2709653292. The cubic root of 2112990000 is about 1283.2141715785.

The spelling of 2112990000 in words is "two billion, one hundred twelve million, nine hundred ninety thousand".