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2091244320 = 253251147532
BaseRepresentation
bin111110010100101…
…1101101100100000
312101202001012220100
41330221131230200
513240324304240
6543302342400
7102552166134
oct17451355440
95352035810
102091244320
119834a88a0
124a442aa00
13274343799
1415ba4b3c4
15c38d7e30
hex7ca5db20

2091244320 has 432 divisors, whose sum is σ = 8103618432. Its totient is φ = 486819840.

The previous prime is 2091244301. The next prime is 2091244333. The reversal of 2091244320 is 234421902.

2091244320 is a `hidden beast` number, since 209 + 1 + 24 + 432 + 0 = 666.

2091244320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39457414 + ... + 39457466.

It is an arithmetic number, because the mean of its divisors is an integer number (18758376).

Almost surely, 22091244320 is an apocalyptic number.

2091244320 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 2091244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051809216).

2091244320 is an abundant number, since it is smaller than the sum of its proper divisors (6012374112).

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

2091244320 is a wasteful number, since it uses less digits than its factorization.

2091244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2091244320 is about 45730.1248631578. The cubic root of 2091244320 is about 1278.7969490535.

It can be divided in two parts, 209124 and 4320, that added together give a square (213444 = 4622).

The spelling of 2091244320 in words is "two billion, ninety-one million, two hundred forty-four thousand, three hundred twenty".