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2110973040 = 24325114753107
BaseRepresentation
bin111110111010010…
…1110010001110000
312110010011112121200
41331310232101300
513310402114130
6545245251200
7103211655231
oct17564562160
95403145550
102110973040
11993653320
124aab63b00
13278460597
14160505088
15c54d3760
hex7dd2e470

2110973040 has 480 divisors, whose sum is σ = 8122622976. Its totient is φ = 486819840.

The previous prime is 2110973021. The next prime is 2110973041. The reversal of 2110973040 is 403790112.

It is a junction number, because it is equal to n+sod(n) for n = 2110972995 and 2110973013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110973041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19728667 + ... + 19728773.

Almost surely, 22110973040 is an apocalyptic number.

2110973040 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 2110973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061311488).

2110973040 is an abundant number, since it is smaller than the sum of its proper divisors (6011649936).

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

2110973040 is a wasteful number, since it uses less digits than its factorization.

2110973040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2110973040 is about 45945.3266393874. The cubic root of 2110973040 is about 1282.8057431408.

It can be divided in two parts, 21109 and 73040, that added together give a palindrome (94149).

The spelling of 2110973040 in words is "two billion, one hundred ten million, nine hundred seventy-three thousand, forty".