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2091075120 = 2432547611013
BaseRepresentation
bin111110010100011…
…0100011000110000
312101201201121210200
41330220310120300
513240303400440
6543254555200
7102550562631
oct17450643060
95351647720
102091075120
119833a2762
124a4368b00
132742b4774
1415ba05888
15c38a2c30
hex7ca34630

2091075120 has 240 divisors, whose sum is σ = 7296711552. Its totient is φ = 536279040.

The previous prime is 2091075113. The next prime is 2091075137. The reversal of 2091075120 is 215701902.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2063734 + ... + 2064746.

Almost surely, 22091075120 is an apocalyptic number.

2091075120 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 2091075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648355776).

2091075120 is an abundant number, since it is smaller than the sum of its proper divisors (5205636432).

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

2091075120 is a wasteful number, since it uses less digits than its factorization.

2091075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2091075120 is about 45728.2748417213. The cubic root of 2091075120 is about 1278.7624594951.

The spelling of 2091075120 in words is "two billion, ninety-one million, seventy-five thousand, one hundred twenty".