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2041940680 = 235134099601
BaseRepresentation
bin111100110110101…
…1000101011001000
312021022021100000121
41321231120223020
513140214100210
6534341513024
7101413131553
oct17155305310
95238240017
102041940680
1195869328a
1248ba12774
13267070330
1415529569a
15be3e96da
hex79b58ac8

2041940680 has 64 divisors (see below), whose sum is σ = 4960393200. Its totient is φ = 752025600.

The previous prime is 2041940647. The next prime is 2041940683. The reversal of 2041940680 is 860491402.

It can be written as a sum of positive squares in 8 ways, for example, as 1269211876 + 772728804 = 35626^2 + 27798^2 .

It is not an unprimeable number, because it can be changed into a prime (2041940683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207880 + ... + 217480.

Almost surely, 22041940680 is an apocalyptic number.

2041940680 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 2041940680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480196600).

2041940680 is an abundant number, since it is smaller than the sum of its proper divisors (2918452520).

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

2041940680 is a wasteful number, since it uses less digits than its factorization.

2041940680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2041940680 is about 45187.8377442426. The cubic root of 2041940680 is about 1268.6671862923.

The spelling of 2041940680 in words is "two billion, forty-one million, nine hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 409 520 818 1636 2045 3272 4090 5317 8180 9601 10634 16360 19202 21268 26585 38404 42536 48005 53170 76808 96010 106340 124813 192020 212680 249626 384040 499252 624065 998504 1248130 2496260 3926809 4992520 7853618 15707236 19634045 31414472 39268090 51048517 78536180 102097034 157072360 204194068 255242585 408388136 510485170 1020970340 2041940680