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2063783040 = 2735111937139
BaseRepresentation
bin111101100000010…
…1101010010000000
312022211101001002220
41323000231102000
513211312024130
6540442011040
7102066603114
oct17300552200
95284331086
102063783040
11969a51820
124971a6a80
1326b74a1c7
1415813d744
15c12b1410
hex7b02d480

2063783040 has 512 divisors, whose sum is σ = 7814016000. Its totient is φ = 457850880.

The previous prime is 2063783023. The next prime is 2063783047. The reversal of 2063783040 is 403873602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2063782992 and 2063783010.

It is not an unprimeable number, because it can be changed into a prime (2063783047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14847291 + ... + 14847429.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 22063783040 is an apocalyptic number.

2063783040 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 2063783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907008000).

2063783040 is an abundant number, since it is smaller than the sum of its proper divisors (5750232960).

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

2063783040 is a wasteful number, since it uses less digits than its factorization.

2063783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2063783040 is about 45428.8789207922. The cubic root of 2063783040 is about 1273.1747384932.

The spelling of 2063783040 in words is "two billion, sixty-three million, seven hundred eighty-three thousand, forty".