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2097359460 = 2233571922953
BaseRepresentation
bin111110100000011…
…0010101001100100
312102011112220022000
41331000302221210
513243411000320
6544041405300
7102655155420
oct17500625144
95364486260
102097359460
119869a5229
124a6499830
132756a5001
1415c79db80
15c41e4c90
hex7d032a64

2097359460 has 576 divisors, whose sum is σ = 8295436800. Its totient is φ = 430230528.

The previous prime is 2097359449. The next prime is 2097359497. The reversal of 2097359460 is 649537902.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39572794 + ... + 39572846.

It is an arithmetic number, because the mean of its divisors is an integer number (14401800).

Almost surely, 22097359460 is an apocalyptic number.

2097359460 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 2097359460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147718400).

2097359460 is an abundant number, since it is smaller than the sum of its proper divisors (6198077340).

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

2097359460 is a wasteful number, since it uses less digits than its factorization.

2097359460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2097359460 is about 45796.9372338369. The cubic root of 2097359460 is about 1280.0422064533.

The spelling of 2097359460 in words is "two billion, ninety-seven million, three hundred fifty-nine thousand, four hundred sixty".