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2071923840 = 27335722447
BaseRepresentation
bin111101101111111…
…0000110010000000
312100101200122012000
41323133300302000
513220403030330
6541332304000
7102226030200
oct17337606200
95311618160
102071923840
11973602058
12499a72000
1327033a74c
1415925c400
15c1d6d560
hex7b7f0c80

2071923840 has 384 divisors, whose sum is σ = 8539603200. Its totient is φ = 473389056.

The previous prime is 2071923809. The next prime is 2071923857. The reversal of 2071923840 is 483291702.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2071923795 and 2071923804.

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, 845497 + ... + 847943.

It is an arithmetic number, because the mean of its divisors is an integer number (22238550).

Almost surely, 22071923840 is an apocalyptic number.

2071923840 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 2071923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269801600).

2071923840 is an abundant number, since it is smaller than the sum of its proper divisors (6467679360).

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

2071923840 is a wasteful number, since it uses less digits than its factorization.

2071923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2071923840 is about 45518.3901297047. The cubic root of 2071923840 is about 1274.8465974610.

The spelling of 2071923840 in words is "two billion, seventy-one million, nine hundred twenty-three thousand, eight hundred forty".