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2074443840 = 263257432393
BaseRepresentation
bin111101110100101…
…1000000001000000
312100120102122222100
41323221120001000
513222024200330
6541502310400
7102256324140
oct17351300100
95316378870
102074443840
11974a733a7
1249a888400
13270a10781
14159716920
15c21ba060
hex7ba58040

2074443840 has 336 divisors, whose sum is σ = 8347667328. Its totient is φ = 462938112.

The previous prime is 2074443829. The next prime is 2074443851. The reversal of 2074443840 is 483444702.

It is a happy number.

2074443840 is a `hidden beast` number, since 207 + 4 + 443 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2074443829) and next prime (2074443851).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2074443795 and 2074443804.

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, 865684 + ... + 868076.

It is an arithmetic number, because the mean of its divisors is an integer number (24844248).

Almost surely, 22074443840 is an apocalyptic number.

2074443840 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 2074443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173833664).

2074443840 is an abundant number, since it is smaller than the sum of its proper divisors (6273223488).

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

2074443840 is a wasteful number, since it uses less digits than its factorization.

2074443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2074443840 is about 45546.0628375275. The cubic root of 2074443840 is about 1275.3632367608.

The spelling of 2074443840 in words is "two billion, seventy-four million, four hundred forty-three thousand, eight hundred forty".