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2073057840 = 243357167821
BaseRepresentation
bin111101110010000…
…0101101000110000
312100110211020202000
41323210011220300
513221200322330
6541412454000
7102241462260
oct17344055060
95313736660
102073057840
11974207047
1249a31a300
13270646959
141594757a0
15c1ee4560
hex7b905a30

2073057840 has 320 divisors, whose sum is σ = 8219473920. Its totient is φ = 470430720.

The previous prime is 2073057803. The next prime is 2073057863. The reversal of 2073057840 is 487503702.

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 = 2073057795 and 2073057804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2524630 + ... + 2525450.

It is an arithmetic number, because the mean of its divisors is an integer number (25685856).

Almost surely, 22073057840 is an apocalyptic number.

2073057840 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 2073057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109736960).

2073057840 is an abundant number, since it is smaller than the sum of its proper divisors (6146416080).

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

2073057840 is a wasteful number, since it uses less digits than its factorization.

2073057840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2073057840 is about 45530.8449295640. The cubic root of 2073057840 is about 1275.0791369565.

The spelling of 2073057840 in words is "two billion, seventy-three million, fifty-seven thousand, eight hundred forty".