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2139943680 = 283257217223
BaseRepresentation
bin111111110001100…
…1111001100000000
312112010200101212100
41333203033030000
513340311144210
6552202230400
7104013135600
oct17743171400
95463611770
102139943680
119a8a403a6
124b87b5400
13281464b84
141642c6c00
15c7d075c0
hex7f8cf300

2139943680 has 648 divisors, whose sum is σ = 9160324992. Its totient is φ = 458293248.

The previous prime is 2139943651. The next prime is 2139943717. The reversal of 2139943680 is 863499312.

It is a happy number.

2139943680 is a `hidden beast` number, since 2 + 139 + 9 + 436 + 80 = 666.

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

It is a zygodrome in base 2.

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, 9596049 + ... + 9596271.

It is an arithmetic number, because the mean of its divisors is an integer number (14136304).

Almost surely, 22139943680 is an apocalyptic number.

2139943680 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 2139943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580162496).

2139943680 is an abundant number, since it is smaller than the sum of its proper divisors (7020381312).

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

2139943680 is a wasteful number, since it uses less digits than its factorization.

2139943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2139943680 is about 46259.5252893931. The cubic root of 2139943680 is about 1288.6474375737.

The spelling of 2139943680 in words is "two billion, one hundred thirty-nine million, nine hundred forty-three thousand, six hundred eighty".