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2159447040 = 21034541127
BaseRepresentation
bin1000000010110110…
…1000110000000000
312120111101021110000
42000231220300000
513410304301130
6554140240000
7104340665652
oct20055506000
95514337400
102159447040
11a08a51583
12503240000
1328550321a
14166b226d2
15c98ab260
hex80b68c00

2159447040 has 440 divisors, whose sum is σ = 7989391872. Its totient is φ = 557383680.

The previous prime is 2159446997. The next prime is 2159447041. The reversal of 2159447040 is 407449512.

It is a happy number.

2159447040 is a `hidden beast` number, since 21 + 594 + 4 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2159446986 and 2159447004.

It is not an unprimeable number, because it can be changed into a prime (2159447041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17003457 + ... + 17003583.

Almost surely, 22159447040 is an apocalyptic number.

2159447040 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 2159447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994695936).

2159447040 is an abundant number, since it is smaller than the sum of its proper divisors (5829944832).

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

2159447040 is a wasteful number, since it uses less digits than its factorization.

2159447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2159447040 is about 46469.8508712907. The cubic root of 2159447040 is about 1292.5504975488.

The spelling of 2159447040 in words is "two billion, one hundred fifty-nine million, four hundred forty-seven thousand, forty".